subject:(statistical mechanics)

Rutgers University

1. Ramezanali, Mohammad. Extracting sparse signals from high-dimensional data: a statistical mechanics approach.

Degree: PhD, Physics and Astronomy, 2015, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/48628/

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Sparse reconstruction algorithms aim to retrieve high-dimensional sparse signals from a limited amount of measurements under suitable conditions. As the number of variables go to… (more)

Subjects/Keywords: Statistical mechanics

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APA (6^th Edition):

Ramezanali, M. (2015). Extracting sparse signals from high-dimensional data: a statistical mechanics approach. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/48628/

Chicago Manual of Style (16^th Edition):

Ramezanali, Mohammad. “Extracting sparse signals from high-dimensional data: a statistical mechanics approach.” 2015. Doctoral Dissertation, Rutgers University. Accessed March 01, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/48628/.

MLA Handbook (7^th Edition):

Ramezanali, Mohammad. “Extracting sparse signals from high-dimensional data: a statistical mechanics approach.” 2015. Web. 01 Mar 2021.

Vancouver:

Ramezanali M. Extracting sparse signals from high-dimensional data: a statistical mechanics approach. [Internet] [Doctoral dissertation]. Rutgers University; 2015. [cited 2021 Mar 01]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/48628/.

Council of Science Editors:

Ramezanali M. Extracting sparse signals from high-dimensional data: a statistical mechanics approach. [Doctoral Dissertation]. Rutgers University; 2015. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/48628/

Georgia Tech

2. Waters, James T. Force and fluctuations in polymer ensembles.

Degree: PhD, Physics, 2016, Georgia Tech

URL: http://hdl.handle.net/1853/59141

► The focus of this work is on developing mechanical models for studying polymer chains under different constraints and confining geometries. This will have application to… (more)

Subjects/Keywords: Polymers; Statistical mechanics; Classical mechanics

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APA (6^th Edition):

Waters, J. T. (2016). Force and fluctuations in polymer ensembles. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/59141

Chicago Manual of Style (16^th Edition):

Waters, James T. “Force and fluctuations in polymer ensembles.” 2016. Doctoral Dissertation, Georgia Tech. Accessed March 01, 2021. http://hdl.handle.net/1853/59141.

MLA Handbook (7^th Edition):

Waters, James T. “Force and fluctuations in polymer ensembles.” 2016. Web. 01 Mar 2021.

Vancouver:

Waters JT. Force and fluctuations in polymer ensembles. [Internet] [Doctoral dissertation]. Georgia Tech; 2016. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1853/59141.

Council of Science Editors:

Waters JT. Force and fluctuations in polymer ensembles. [Doctoral Dissertation]. Georgia Tech; 2016. Available from: http://hdl.handle.net/1853/59141

Addis Ababa University

3. Tilahun, Abebe. Statistical Mechanics in an Expanding Maximally Symmetric Universe .

Degree: 2013, Addis Ababa University

URL: http://etd.aau.edu.et/dspace/handle/123456789/1341

► The universe was radiation dominated at red shifts higher than Zeq = 3:9x104 h2. In the radiation dominated phase, the temperature will be greater Teq… (more)

Subjects/Keywords: Statistical Mechanics; universe

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APA (6^th Edition):

Tilahun, A. (2013). Statistical Mechanics in an Expanding Maximally Symmetric Universe . (Thesis). Addis Ababa University. Retrieved from http://etd.aau.edu.et/dspace/handle/123456789/1341

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tilahun, Abebe. “Statistical Mechanics in an Expanding Maximally Symmetric Universe .” 2013. Thesis, Addis Ababa University. Accessed March 01, 2021. http://etd.aau.edu.et/dspace/handle/123456789/1341.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tilahun, Abebe. “Statistical Mechanics in an Expanding Maximally Symmetric Universe .” 2013. Web. 01 Mar 2021.

Vancouver:

Tilahun A. Statistical Mechanics in an Expanding Maximally Symmetric Universe . [Internet] [Thesis]. Addis Ababa University; 2013. [cited 2021 Mar 01]. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1341.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tilahun A. Statistical Mechanics in an Expanding Maximally Symmetric Universe . [Thesis]. Addis Ababa University; 2013. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1341

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University

4. Patra, Aniket, 1989-. A study in nonequilibrium: from explicit time-dependence to open systems.

Degree: PhD, Physics and Astronomy, 2019, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/60043/

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In our universe almost everything is out of equilibrium. With the improvement of experimental techniques we are now able to probe more and more truly… (more)

Subjects/Keywords: Nonequilibrium statistical mechanics

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APA (6^th Edition):

Patra, Aniket, 1. (2019). A study in nonequilibrium: from explicit time-dependence to open systems. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/60043/

Chicago Manual of Style (16^th Edition):

Patra, Aniket, 1989-. “A study in nonequilibrium: from explicit time-dependence to open systems.” 2019. Doctoral Dissertation, Rutgers University. Accessed March 01, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/60043/.

MLA Handbook (7^th Edition):

Patra, Aniket, 1989-. “A study in nonequilibrium: from explicit time-dependence to open systems.” 2019. Web. 01 Mar 2021.

Vancouver:

Patra, Aniket 1. A study in nonequilibrium: from explicit time-dependence to open systems. [Internet] [Doctoral dissertation]. Rutgers University; 2019. [cited 2021 Mar 01]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/60043/.

Council of Science Editors:

Patra, Aniket 1. A study in nonequilibrium: from explicit time-dependence to open systems. [Doctoral Dissertation]. Rutgers University; 2019. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/60043/

McMaster University

5. Riddell, Jonathon. Quantum Information Dynamics: A Perspective From Free Fermion Models.

Degree: MSc, 2019, McMaster University

URL: http://hdl.handle.net/11375/24777

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Equilibration, thermalization and scrambling appear to be intimately related, however their exact relation is unknown. As presented in the introduction these fields are at their… (more)

Subjects/Keywords: Quantum information; Quantum statistical mechanics; Statistical physics

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APA (6^th Edition):

Riddell, J. (2019). Quantum Information Dynamics: A Perspective From Free Fermion Models. (Masters Thesis). McMaster University. Retrieved from http://hdl.handle.net/11375/24777

Chicago Manual of Style (16^th Edition):

Riddell, Jonathon. “Quantum Information Dynamics: A Perspective From Free Fermion Models.” 2019. Masters Thesis, McMaster University. Accessed March 01, 2021. http://hdl.handle.net/11375/24777.

MLA Handbook (7^th Edition):

Riddell, Jonathon. “Quantum Information Dynamics: A Perspective From Free Fermion Models.” 2019. Web. 01 Mar 2021.

Vancouver:

Riddell J. Quantum Information Dynamics: A Perspective From Free Fermion Models. [Internet] [Masters thesis]. McMaster University; 2019. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/11375/24777.

Council of Science Editors:

Riddell J. Quantum Information Dynamics: A Perspective From Free Fermion Models. [Masters Thesis]. McMaster University; 2019. Available from: http://hdl.handle.net/11375/24777

Kansas State University

6. Gairola, Abhinav. Development of statistical mechanics emulators for system analysis and uncertainty quantification in nuclear engineering.

Degree: PhD, Department of Mechanical and Nuclear Engineering, 2019, Kansas State University

URL: http://hdl.handle.net/2097/40037

► Despite the tremendous growth of computational resources in recent years, the "curse of dimensionality'' associated with the canonical evolutionary partial differential equations in nuclear reactor… (more)

▼ Despite the tremendous growth of computational resources in recent years, the "curse of dimensionality'' associated with the canonical evolutionary partial differential equations in nuclear reactor engineering and thermal-hydraulics such as the direct solution to non-linear Navier-Stokes equations is still a challenge to tackle. To solve this fundamental problem and to get a reasonable answer in the time-constrained engineering design and optimization process, reduced spatio-temporal complexity models are required. Typically, this is done by linearization and spatio-temporal averaging of parameters in the context of thermal-hydraulic applications. This procedure may lead to an inaccurate depiction of the system behavior – with a number of structural errors in the model. These structural errors can also arise because of the principles on which the model relies. Since it is almost impossible to completely decipher the principles on which the model rests, and a certain degree of distortion is always required to build a system of equations. This approximated view of the reality is the basis of many engineering system simulations toolboxes such as RELAP and TRACE – which can lead to a tremendous amount of uncertainties in the quantities of interests. The gap between the reality and approximated system is typically bridged by uncertainty quantification routes which rely on black-box approaches, such as constructing low-cost regression surrogates or emulators and conducting sensitivity studies with those surrogates.\par To tackle these uncertainties, this work takes a unique approach of using the high-resolution datasets to learn the dynamics of uncertainties with a statistical mechanics approach. While doing so, it is inherently assumed that the Navier-Stokes equation is a structurally perfect and correct model. The unique contribution in the general context of nuclear engineering is the constraining of non-linear Langevin equation on the high-resolution datasets via the non-equilibrium statistical mechanics route. This is achieved by computing the parameters of the model via solving an inverse problem through the utilization of the Kramers-Moyal expansion method. These statistical mechanics equations are used to quantify uncertainties in the scalar dispersion. A similar approach is used to emulate grid load pattern and renewable energy generation, and the emulators are integrated with established reactor system models to design a novel stochastic control strategy. Advisors/Committee Members: Hitesh Bindra.

Subjects/Keywords: Non-equilibrium statistical mechanics; Statistical emulators

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APA (6^th Edition):

Gairola, A. (2019). Development of statistical mechanics emulators for system analysis and uncertainty quantification in nuclear engineering. (Doctoral Dissertation). Kansas State University. Retrieved from http://hdl.handle.net/2097/40037

Chicago Manual of Style (16^th Edition):

Gairola, Abhinav. “Development of statistical mechanics emulators for system analysis and uncertainty quantification in nuclear engineering.” 2019. Doctoral Dissertation, Kansas State University. Accessed March 01, 2021. http://hdl.handle.net/2097/40037.

MLA Handbook (7^th Edition):

Gairola, Abhinav. “Development of statistical mechanics emulators for system analysis and uncertainty quantification in nuclear engineering.” 2019. Web. 01 Mar 2021.

Vancouver:

Gairola A. Development of statistical mechanics emulators for system analysis and uncertainty quantification in nuclear engineering. [Internet] [Doctoral dissertation]. Kansas State University; 2019. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/2097/40037.

Council of Science Editors:

Gairola A. Development of statistical mechanics emulators for system analysis and uncertainty quantification in nuclear engineering. [Doctoral Dissertation]. Kansas State University; 2019. Available from: http://hdl.handle.net/2097/40037

Cornell University

7. Chen, Joe. Topics In Mathematical Physics On Sierpinski Carpets.

Degree: PhD, Physics, 2013, Cornell University

URL: http://hdl.handle.net/1813/34273

► We study three topics in mathematical physics on fractal domains which are based on the Sierpinski carpet and its higher-dimensional analogs. First, we rigorously investigate… (more)

Subjects/Keywords: fractals; statistical mechanics; billiards

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APA (6^th Edition):

Chen, J. (2013). Topics In Mathematical Physics On Sierpinski Carpets. (Doctoral Dissertation). Cornell University. Retrieved from http://hdl.handle.net/1813/34273

Chicago Manual of Style (16^th Edition):

Chen, Joe. “Topics In Mathematical Physics On Sierpinski Carpets.” 2013. Doctoral Dissertation, Cornell University. Accessed March 01, 2021. http://hdl.handle.net/1813/34273.

MLA Handbook (7^th Edition):

Chen, Joe. “Topics In Mathematical Physics On Sierpinski Carpets.” 2013. Web. 01 Mar 2021.

Vancouver:

Chen J. Topics In Mathematical Physics On Sierpinski Carpets. [Internet] [Doctoral dissertation]. Cornell University; 2013. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1813/34273.

Council of Science Editors:

Chen J. Topics In Mathematical Physics On Sierpinski Carpets. [Doctoral Dissertation]. Cornell University; 2013. Available from: http://hdl.handle.net/1813/34273

Oregon State University

8. Shen, Chung-Yi. Probability densities and correlation functions in statistical mechanics.

Degree: PhD, Mathematics, 1967, Oregon State University

URL: http://hdl.handle.net/1957/17204

► The work in this thesis falls into two parts. The first part presents a rigorous theory of probability densities and correlation functions within the framework… (more)

Subjects/Keywords: Statistical mechanics

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APA (6^th Edition):

Shen, C. (1967). Probability densities and correlation functions in statistical mechanics. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/17204

Chicago Manual of Style (16^th Edition):

Shen, Chung-Yi. “Probability densities and correlation functions in statistical mechanics.” 1967. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/17204.

MLA Handbook (7^th Edition):

Shen, Chung-Yi. “Probability densities and correlation functions in statistical mechanics.” 1967. Web. 01 Mar 2021.

Vancouver:

Shen C. Probability densities and correlation functions in statistical mechanics. [Internet] [Doctoral dissertation]. Oregon State University; 1967. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/17204.

Council of Science Editors:

Shen C. Probability densities and correlation functions in statistical mechanics. [Doctoral Dissertation]. Oregon State University; 1967. Available from: http://hdl.handle.net/1957/17204

University of Melbourne

9. FINN, CALEY. One-dimensional stochastic models with open boundaries: integrability, applications, and q-deformed Knizhnik–Zamolodchikov equations.

Degree: 2014, University of Melbourne

URL: http://hdl.handle.net/11343/50419

► This thesis contains work on three separate topics, but with common themes running throughout. These themes are drawn together in the asymmetric exclusion process (ASEP)… (more)

▼ This thesis contains work on three separate topics, but with common themes running throughout. These themes are drawn together in the asymmetric exclusion process (ASEP) – a stochastic process describing particles hopping on a one-dimensional lattice. The open boundary ASEP is set on a finite length lattice, with particles entering and exiting at both boundaries. The transition matrix of the open boundary ASEP provides a representation of the two boundary Temperley–Lieb algebra, and the integrability of the system allows the diagonalisation of the transition matrix through the Bethe ansatz method. We study the ASEP in the reverse bias regime, where the boundary injection and extraction rates oppose the preferred direction of flow in the bulk. We find the exact asymptotic relaxation rate along the coexistence line by analysing solutions of the Bethe equations. The Bethe equations are first solved numerically, then the form of the resulting root distribution is used as the basis for an asymptotic analysis. The reverse bias induces the appearance of isolated roots, which introduces a modified length scale in the system. We describe the careful treatment of the isolated roots that is required in both the numerical procedure, and in the asymptotic analysis. The second topic of this thesis is the study of a priority queueing system, modelled as an exclusion process with moving boundaries. We call this model the prioritising exclusion process (PEP). In the PEP, the hopping of particles corresponds to high priority customers overtaking low priority customers in order to gain service sooner. Although the PEP is not integrable, techniques from the ASEP allow calculation of exact density profiles in certain phases, and the calculation of approximate average waiting times when the expected queue length is finite. The final topic of this thesis is a study of polynomial solutions of a q-deformed Knizhnik–Zamolodchikov (qKZ) equation with mixed boundaries. The qKZ equation studied here is given in terms of the one boundary Temperley–Lieb algebra, and its solutions have a factorised form in terms of Baxterized elements of the type B Hecke algebra. We find an integral form for certain components of the qKZ solution, along with a factorised expression for a generalised sum rule. The representation of the Temperley– Lieb algebra that we study is related to the O(n) Temperley–Lieb loop model, and a specialization of the sum rule gives the normalisation of the ground state vector for the O(n = 1) model.

Subjects/Keywords: statistical mechanics; integrable systems

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APA (6^th Edition):

FINN, C. (2014). One-dimensional stochastic models with open boundaries: integrability, applications, and q-deformed Knizhnik–Zamolodchikov equations. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/50419

Chicago Manual of Style (16^th Edition):

FINN, CALEY. “One-dimensional stochastic models with open boundaries: integrability, applications, and q-deformed Knizhnik–Zamolodchikov equations.” 2014. Doctoral Dissertation, University of Melbourne. Accessed March 01, 2021. http://hdl.handle.net/11343/50419.

MLA Handbook (7^th Edition):

FINN, CALEY. “One-dimensional stochastic models with open boundaries: integrability, applications, and q-deformed Knizhnik–Zamolodchikov equations.” 2014. Web. 01 Mar 2021.

Vancouver:

FINN C. One-dimensional stochastic models with open boundaries: integrability, applications, and q-deformed Knizhnik–Zamolodchikov equations. [Internet] [Doctoral dissertation]. University of Melbourne; 2014. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/11343/50419.

Council of Science Editors:

FINN C. One-dimensional stochastic models with open boundaries: integrability, applications, and q-deformed Knizhnik–Zamolodchikov equations. [Doctoral Dissertation]. University of Melbourne; 2014. Available from: http://hdl.handle.net/11343/50419

University of British Columbia

10. Mast, Lilian G. (Feuerverger). An analysis of multidimensional contingency talbes.

Degree: MS- MSc, Mathematics, 1973, University of British Columbia

URL: http://hdl.handle.net/2429/32931

► In this thesis we consider the following model for a three-dimensional r ˣ s ˣ t contingency table: [formula omitted]. A dot indicates summation over… (more)

Subjects/Keywords: Statistical mechanics

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APA (6^th Edition):

Mast, L. G. (. (1973). An analysis of multidimensional contingency talbes. (Masters Thesis). University of British Columbia. Retrieved from http://hdl.handle.net/2429/32931

Chicago Manual of Style (16^th Edition):

Mast, Lilian G (Feuerverger). “An analysis of multidimensional contingency talbes.” 1973. Masters Thesis, University of British Columbia. Accessed March 01, 2021. http://hdl.handle.net/2429/32931.

MLA Handbook (7^th Edition):

Mast, Lilian G (Feuerverger). “An analysis of multidimensional contingency talbes.” 1973. Web. 01 Mar 2021.

Vancouver:

Mast LG(. An analysis of multidimensional contingency talbes. [Internet] [Masters thesis]. University of British Columbia; 1973. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/2429/32931.

Council of Science Editors:

Mast LG(. An analysis of multidimensional contingency talbes. [Masters Thesis]. University of British Columbia; 1973. Available from: http://hdl.handle.net/2429/32931

Columbia University

11. Benoist, Stephane. Conformally invariant random planar objects.

Degree: 2016, Columbia University

URL: https://doi.org/10.7916/D80G3K4T

► This thesis explores different aspects of a surprising field of research: the conformally invariant scaling limits of planar statistical mechanics models. The aspects developed here… (more)

Subjects/Keywords: Ising model; Statistical mechanics – Mathematical models; Conformal invariants; Statistical mechanics; Mathematics

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APA (6^th Edition):

Benoist, S. (2016). Conformally invariant random planar objects. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D80G3K4T

Chicago Manual of Style (16^th Edition):

Benoist, Stephane. “Conformally invariant random planar objects.” 2016. Doctoral Dissertation, Columbia University. Accessed March 01, 2021. https://doi.org/10.7916/D80G3K4T.

MLA Handbook (7^th Edition):

Benoist, Stephane. “Conformally invariant random planar objects.” 2016. Web. 01 Mar 2021.

Vancouver:

Benoist S. Conformally invariant random planar objects. [Internet] [Doctoral dissertation]. Columbia University; 2016. [cited 2021 Mar 01]. Available from: https://doi.org/10.7916/D80G3K4T.

Council of Science Editors:

Benoist S. Conformally invariant random planar objects. [Doctoral Dissertation]. Columbia University; 2016. Available from: https://doi.org/10.7916/D80G3K4T

University of Lund

12. Stenqvist, Björn. Electric interactions: A study of cellulose.

Degree: 2016, University of Lund

URL: https://lup.lub.lu.se/record/1016877e-8f39-4929-80c0-020cca017c8b ; https://portal.research.lu.se/ws/files/12247798/Thesis.pdf

► This work is primary about development and application of electrostatic theory within the atomistic domain. The resulting procedures were implemented to eventually describe systems involving… (more)

Subjects/Keywords: Natural Sciences; Electric interactions; Quantum mechanics; Statistical mechanics; Simulations; Cellulose; Electric interactions; Quantum mechanics; Statistical mechanics; Simulations; Cellulose

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APA (6^th Edition):

Stenqvist, B. (2016). Electric interactions: A study of cellulose. (Doctoral Dissertation). University of Lund. Retrieved from https://lup.lub.lu.se/record/1016877e-8f39-4929-80c0-020cca017c8b ; https://portal.research.lu.se/ws/files/12247798/Thesis.pdf

Chicago Manual of Style (16^th Edition):

Stenqvist, Björn. “Electric interactions: A study of cellulose.” 2016. Doctoral Dissertation, University of Lund. Accessed March 01, 2021. https://lup.lub.lu.se/record/1016877e-8f39-4929-80c0-020cca017c8b ; https://portal.research.lu.se/ws/files/12247798/Thesis.pdf.

MLA Handbook (7^th Edition):

Stenqvist, Björn. “Electric interactions: A study of cellulose.” 2016. Web. 01 Mar 2021.

Vancouver:

Stenqvist B. Electric interactions: A study of cellulose. [Internet] [Doctoral dissertation]. University of Lund; 2016. [cited 2021 Mar 01]. Available from: https://lup.lub.lu.se/record/1016877e-8f39-4929-80c0-020cca017c8b ; https://portal.research.lu.se/ws/files/12247798/Thesis.pdf.

Council of Science Editors:

Stenqvist B. Electric interactions: A study of cellulose. [Doctoral Dissertation]. University of Lund; 2016. Available from: https://lup.lub.lu.se/record/1016877e-8f39-4929-80c0-020cca017c8b ; https://portal.research.lu.se/ws/files/12247798/Thesis.pdf

13. Perry, Paul M. Asymptotic behavior of pair correlations in one-dimensional binary mixtures.

Degree: PhD, 1973, Oregon Health Sciences University

URL: doi:10.6083/M4KS6PH9 ; http://digitalcommons.ohsu.edu/etd/34

Subjects/Keywords: Statistical mechanics; Fluids

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APA (6^th Edition):

Perry, P. M. (1973). Asymptotic behavior of pair correlations in one-dimensional binary mixtures. (Doctoral Dissertation). Oregon Health Sciences University. Retrieved from doi:10.6083/M4KS6PH9 ; http://digitalcommons.ohsu.edu/etd/34

Chicago Manual of Style (16^th Edition):

Perry, Paul M. “Asymptotic behavior of pair correlations in one-dimensional binary mixtures.” 1973. Doctoral Dissertation, Oregon Health Sciences University. Accessed March 01, 2021. doi:10.6083/M4KS6PH9 ; http://digitalcommons.ohsu.edu/etd/34.

MLA Handbook (7^th Edition):

Perry, Paul M. “Asymptotic behavior of pair correlations in one-dimensional binary mixtures.” 1973. Web. 01 Mar 2021.

Vancouver:

Perry PM. Asymptotic behavior of pair correlations in one-dimensional binary mixtures. [Internet] [Doctoral dissertation]. Oregon Health Sciences University; 1973. [cited 2021 Mar 01]. Available from: doi:10.6083/M4KS6PH9 ; http://digitalcommons.ohsu.edu/etd/34.

Council of Science Editors:

Perry PM. Asymptotic behavior of pair correlations in one-dimensional binary mixtures. [Doctoral Dissertation]. Oregon Health Sciences University; 1973. Available from: doi:10.6083/M4KS6PH9 ; http://digitalcommons.ohsu.edu/etd/34

Cornell University

14. Xu, Jin. Internal Processes Of Sand And Other Porous Media.

Degree: PhD, Mechanical Engineering, 2015, Cornell University

URL: http://hdl.handle.net/1813/40659

► This dissertation discusses internal processes of porous media from multiple perspectives. In chapter 2, "Statistical Mechanics of Unsaturated Porous Media," we derive a statistical mechanical… (more)

▼ This dissertation discusses internal processes of porous media from multiple perspectives. In chapter 2, "Statistical Mechanics of Unsaturated Porous Media," we derive a statistical mechanical model of fluid retention characteristics in porous media in terms of known surface energies and void geometry within the permeable solid based on the Ising model from magnetism. In the limit of vanishing inertial and viscous forces, the theory predicts the fuid retention curve that relates saturation of the porous matrix to applied capillary pressure. We show how the fluid retention curve can be calculated from the statistical distribution of two dimensionless parameters measuring, respectively, the areas of link cross-section and wetted cavity surface with respect to cavity volume. The theory attributes hysteresis of the retention curve to collective first-order phase transitions in the network of cavities. Furthermore, we illustrate predictions with a porous domain consisting of a random packing of spheres, and reproduce the behavior of Haines jumps, which we associate with phase transitions. Chapters 3 and 4 features experimental studies of a particular type of particulate porous media - sand and explores the internal processes of sand dunes and their surface ripples. Chapter 3, "Temperature and Humidity within a Mobile Barchan Sand Dune," (co-authored with A. Valance, A. Ould el-Moctar, A. G. Hay and R. Richer), attempts at answering a practical question of potential importance to dune stabilization, whether temperature and moisture deep within relatively fast moving hyperarid mobile dunes present a suitable habitat for microbes. We contrast deep thermal records obtained from implanted probes with measurements of diurnal variations of the temperature profile just below the surface, and show that temperature within fast moving dunes is predictable, as long as dune advection is properly considered. Observations and analyses also suggest that small quantities of rain falling on the leeward face escape evaporation and endure within the dune until resurfacing upwind. At depths below 10 cm, we show that moisture, rather than temperature, determines the viability of microbes. Toward elucidating how a wavy porous sand bed perturbs a turbulent flow above its surface, in Chapter 4, "Pore Pressure in a Wind-swept Rippled Bed," (co-authored with R. A. Musa, S. Takarrouht, and M. E. Berberich), we record and model pressure within a permeable material resembling the region just below desert ripples. We discovered that, unlike flows on impermeable waves, the porous rippled bed diffuses the depression upstream, reduces surface pressure gradients, and gives rise to a slip velocity, thus affecting the turbulent boundary layer. Pressure gradients within the porous material also generate body forces rising with wind speed squared and ripple aspect ratio, partially counteracting gravity around crests, thereby facilitating the onset of erosion. Although these three essays differ in method and focus, they are all address the internal processes… Advisors/Committee Members: Louge,Michel Yves (chair), Stroock,Abraham Duncan (committee member), Desjardins,Olivier (committee member).

Subjects/Keywords: statistical mechanics; porous media; transport processes

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APA (6^th Edition):

Xu, J. (2015). Internal Processes Of Sand And Other Porous Media. (Doctoral Dissertation). Cornell University. Retrieved from http://hdl.handle.net/1813/40659

Chicago Manual of Style (16^th Edition):

Xu, Jin. “Internal Processes Of Sand And Other Porous Media.” 2015. Doctoral Dissertation, Cornell University. Accessed March 01, 2021. http://hdl.handle.net/1813/40659.

MLA Handbook (7^th Edition):

Xu, Jin. “Internal Processes Of Sand And Other Porous Media.” 2015. Web. 01 Mar 2021.

Vancouver:

Xu J. Internal Processes Of Sand And Other Porous Media. [Internet] [Doctoral dissertation]. Cornell University; 2015. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1813/40659.

Council of Science Editors:

Xu J. Internal Processes Of Sand And Other Porous Media. [Doctoral Dissertation]. Cornell University; 2015. Available from: http://hdl.handle.net/1813/40659

University of Cambridge

15. Curk, Tine. Modelling multivalent interactons.

Degree: PhD, 2016, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/266916

► A Multivalent entity, which could represent a protein, nanoparticle, polymer, virus or a lipid bilayer, has the ability to form multiple bonds to a substrate.… (more)

▼ A Multivalent entity, which could represent a protein, nanoparticle, polymer, virus or a lipid bilayer, has the ability to form multiple bonds to a substrate. Hence, a multivalent interaction can be strong, even if the individual bonds are weak. However, much more interestingly, multivalency enables the design of highly specific interactions using non-specific individual bonds. We attempt to rationalise multivalent effects using simple physical models complemented with numerical simulations. Based on physiochemical characteristics of multivalent binders, we aim to predict the overall strength of interaction and its sensitivity to variation in parameters. We start with a simple model of homo-multivalency, where all bonds are equivalent. Such systems can exhibit a super-selective response, which denotes the high sensitivity of the strength of multivalent binding to the number of accessible binding sites on the target surface. We present a theoretical analysis of systems of multivalent particles and show that a certain degree of disorder is necessary for super-selective behaviour. Moreover, we formulate a set of simple design rules for multivalent interactions that yield optimal selectivity. In the second stage, we expand the model to hetero-multivalency, accounting for multiple distinct types of binding partners. We consider targeting of cells based on a density profile of different membrane receptors types and demonstrate, that speci city towards a desired receptor density profile can be obtained. Hence, cells can be reliably targeted in the absence of specific markers. Crucially, we show that for optimal selectivity, individual bonds must be weak. Finally, we add information about specific geometry and positions of binding sites on the multivalent entity. We focus on molecular imprinting; the process whereby a polymer matrix is cross-linked in the presence of template molecules. The cross-linking process endows the polymer matrix with a chemical ‘memory’, such that the target molecules can subsequently be recognised by the matrix. We show how the binding multivalency and the polymer material properties affect the efficiency and selectivity of molecular imprinting.

Subjects/Keywords: multivalency; selectivity; Monte Carlo simulations; statistical mechanics

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APA (6^th Edition):

Curk, T. (2016). Modelling multivalent interactons. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/266916

Chicago Manual of Style (16^th Edition):

Curk, Tine. “Modelling multivalent interactons.” 2016. Doctoral Dissertation, University of Cambridge. Accessed March 01, 2021. https://www.repository.cam.ac.uk/handle/1810/266916.

MLA Handbook (7^th Edition):

Curk, Tine. “Modelling multivalent interactons.” 2016. Web. 01 Mar 2021.

Vancouver:

Curk T. Modelling multivalent interactons. [Internet] [Doctoral dissertation]. University of Cambridge; 2016. [cited 2021 Mar 01]. Available from: https://www.repository.cam.ac.uk/handle/1810/266916.

Council of Science Editors:

Curk T. Modelling multivalent interactons. [Doctoral Dissertation]. University of Cambridge; 2016. Available from: https://www.repository.cam.ac.uk/handle/1810/266916

University of Cambridge

16. Suresh, Hamsini. Homeostatic mechanics framework for modelling interactions of cells with the microenvironment.

Degree: PhD, 2019, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/297846

► Spreading and locomotion enable the cells to explore their microenvironments during the interphase period of the cell cycle (24-48 hours after cell seeding and prior… (more)

▼ Spreading and locomotion enable the cells to explore their microenvironments during the interphase period of the cell cycle (24-48 hours after cell seeding and prior to cell division). The morphologies adopted by cells in this period dictate orientational ordering, direction and speed of migration, lineage of differentiation and apoptosis. It is well established that cells display a fluctuating response in their microenvironments, and no two cells evolve in the same manner despite being cultured under identical conditions. However, the statistics of cell spreading (i.e. morphometrics such as cell area, aspect ratio, etc.) are remarkably reproducible when experiments are performed over a large number of cells. A mechanistic understanding of this stochastic behaviour of cells will have far-reaching implications in aiding the interpretation of a wide range of cell functionalities. The aim of this thesis is to model the response of single cells to mechanical, chemical and geometric cues in their microenvironment. In the first part of the thesis, we study the contact guidance of myofibroblasts on adhesive stripes of different widths. Contact guidance—the widely-known phenomenon of cell alignment induced by anisotropic environmental features—plays a crucial role in the micro-architecture of tissues and dictates their biological and mechanical functioning. However, the mechanisms by which cells achieve this orientational ordering remain unclear. To examine the mechanisms underpinning contact guidance, we combine detailed morphometric analysis of cells and their subcellular components with the novel homeostatic mechanics framework that recognises the non-thermal fluctuating response of living cells. We show that similar to nematic ordering in liquid crystals, orientational ordering of cells on micropatterns is driven, rather counter-intuitively, by the tendency of cells to maximise morphological disorder. This finding reveals an alternative, entropy-mediated mechanism for explaining the response of cells to anisotropic environmental cues besides the often-invoked mechanisms that are predicated on very specific biochemical feedback pathways. In the second part of the thesis, we extend the framework to investigate the role of substrate curvature in the orientational ordering of myofibroblasts. We propose that the microtubules are the primary cytoskeletal component involved in curvature sensing. Using detailed morphometric analysis, we confirm our hypothesis, and additionally verify that the microtubules control the patterns of stress-fibres formed in cells, in turn controlling cell polarisation and alignment. We also observe that the absence of microtubules results in reduced guidance on the curved substrates, concomitant with increased cellular traction forces. The variability in morphometrics (such as cell shape, area, cytoskeletal protein arrangements and traction forces) also reflects in other critical cell functionality. In particular, the fluctuating response of stem cells on mechanical, chemical and geometric…

Subjects/Keywords: Statistical mechanics; contact guidance; stem cell differentiation

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APA (6^th Edition):

Suresh, H. (2019). Homeostatic mechanics framework for modelling interactions of cells with the microenvironment. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/297846

Chicago Manual of Style (16^th Edition):

Suresh, Hamsini. “Homeostatic mechanics framework for modelling interactions of cells with the microenvironment.” 2019. Doctoral Dissertation, University of Cambridge. Accessed March 01, 2021. https://www.repository.cam.ac.uk/handle/1810/297846.

MLA Handbook (7^th Edition):

Suresh, Hamsini. “Homeostatic mechanics framework for modelling interactions of cells with the microenvironment.” 2019. Web. 01 Mar 2021.

Vancouver:

Suresh H. Homeostatic mechanics framework for modelling interactions of cells with the microenvironment. [Internet] [Doctoral dissertation]. University of Cambridge; 2019. [cited 2021 Mar 01]. Available from: https://www.repository.cam.ac.uk/handle/1810/297846.

Council of Science Editors:

Suresh H. Homeostatic mechanics framework for modelling interactions of cells with the microenvironment. [Doctoral Dissertation]. University of Cambridge; 2019. Available from: https://www.repository.cam.ac.uk/handle/1810/297846

Columbia University

17. Palacci, Henri. Applications of Modern Statistical Mechanics: Molecular Transport and Statistical Learning.

Degree: 2019, Columbia University

URL: https://doi.org/10.7916/d8-wv4t-wc44

► Statistical Mechanics describes the macroscopic behavior of a system through the analysis of its microscopic components. It is therefore a framework to move from a… (more)

▼ Statistical Mechanics describes the macroscopic behavior of a system through the analysis of its microscopic components. It is therefore a framework to move from a probabilistic, high-dimensional description of a system to its macroscopic description through averaging. This approach, now one of the pillars of physics, has seen successes in other fields, such as statistics or mathematical finance. This broadening of the applications of statistical physics has opened new avenues of research in the field itself. Ideas from information theory, differential geometry, and approximate computation are making their way into modern statistical physics. The research presented in this dissertation straddles this boundary: we start by showing how concepts from statistical physics can be applied to statistical learning, then show how modern statistical physics can provide insights into molecular transport phenomena. The first three chapters focus on building an understanding of statistical learning as a thermodynamic relaxation process in a high-dimensional space: in the same way that a statistical mechanical system is composed of a large number of particles relaxing to their equilibrium distribution, a statistical learning system is a parametric function whose optimal parameters minimize an empirical loss. We present this process as a trajectory in a high-dimensional probability Riemannian manifold, and show how this conceptual framework can lead to practical improvements in learning algorithms for large scale neural networks. The second part of this thesis focuses on two applications of modern statistical mechanics to molecular transport. First, I propose a statistical mechanical interpretation of metabolon formation through cross-diffusion, a generalization of the reaction-diffusion framework to multiple reacting species with non-diagonal terms in the diffusion matrix. These theoretical results are validated by experimental results obtained using a microfluidic system. Second, I demonstrate how fluctuation analysis in motility assays can allow us to infer nanoscale properties from microscale measurements. I accomplish this using computational Langevin dynamics simulations and show how this setup can be used to simplify the testing of theoretical non-equilibrium statistical mechanics hypotheses.

Subjects/Keywords: Biomedical engineering; Statistics; Statistical mechanics; Biological transport

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Palacci, H. (2019). Applications of Modern Statistical Mechanics: Molecular Transport and Statistical Learning. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-wv4t-wc44

Chicago Manual of Style (16^th Edition):

Palacci, Henri. “Applications of Modern Statistical Mechanics: Molecular Transport and Statistical Learning.” 2019. Doctoral Dissertation, Columbia University. Accessed March 01, 2021. https://doi.org/10.7916/d8-wv4t-wc44.

MLA Handbook (7^th Edition):

Palacci, Henri. “Applications of Modern Statistical Mechanics: Molecular Transport and Statistical Learning.” 2019. Web. 01 Mar 2021.

Vancouver:

Palacci H. Applications of Modern Statistical Mechanics: Molecular Transport and Statistical Learning. [Internet] [Doctoral dissertation]. Columbia University; 2019. [cited 2021 Mar 01]. Available from: https://doi.org/10.7916/d8-wv4t-wc44.

Council of Science Editors:

Palacci H. Applications of Modern Statistical Mechanics: Molecular Transport and Statistical Learning. [Doctoral Dissertation]. Columbia University; 2019. Available from: https://doi.org/10.7916/d8-wv4t-wc44

University of Oxford

18. Hadjipavlou, Savas. Studies in relaxation.

Degree: PhD, 1978, University of Oxford

URL: https://ora.ox.ac.uk/objects/uuid:41acd5c2-66f4-4a8a-9754-5704ca68e6fb ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.482214

► This work concerns itself with the exact study of the dynamical properties of two model systems. After a brief summary of theory and concepts previous… (more)

Subjects/Keywords: 530.1; Statistical mechanics

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APA (6^th Edition):

Hadjipavlou, S. (1978). Studies in relaxation. (Doctoral Dissertation). University of Oxford. Retrieved from https://ora.ox.ac.uk/objects/uuid:41acd5c2-66f4-4a8a-9754-5704ca68e6fb ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.482214

Chicago Manual of Style (16^th Edition):

Hadjipavlou, Savas. “Studies in relaxation.” 1978. Doctoral Dissertation, University of Oxford. Accessed March 01, 2021. https://ora.ox.ac.uk/objects/uuid:41acd5c2-66f4-4a8a-9754-5704ca68e6fb ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.482214.

MLA Handbook (7^th Edition):

Hadjipavlou, Savas. “Studies in relaxation.” 1978. Web. 01 Mar 2021.

Vancouver:

Hadjipavlou S. Studies in relaxation. [Internet] [Doctoral dissertation]. University of Oxford; 1978. [cited 2021 Mar 01]. Available from: https://ora.ox.ac.uk/objects/uuid:41acd5c2-66f4-4a8a-9754-5704ca68e6fb ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.482214.

Council of Science Editors:

Hadjipavlou S. Studies in relaxation. [Doctoral Dissertation]. University of Oxford; 1978. Available from: https://ora.ox.ac.uk/objects/uuid:41acd5c2-66f4-4a8a-9754-5704ca68e6fb ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.482214

Montana State University

19. Broadbent, Amber Lynn. Magnetic resonance studies of transport in multiphase pharmaceutical delivery and mixing systems.

Degree: PhD, College of Engineering, 2011, Montana State University

URL: https://scholarworks.montana.edu/xmlui/handle/1/974

► In this dissertation research utilizing magnetic resonance methods to noninvasively probe the dynamics and transport properties of novel engineering systems is presented. The systems investigated… (more)

▼ In this dissertation research utilizing magnetic resonance methods to noninvasively probe the dynamics and transport properties of novel engineering systems is presented. The systems investigated are an osmotic controlled release pharmaceutical tablet as well as two mixing and reaction devices, a Taylor-Couette device and a jet-in-tube mixer. Magnetic resonance imaging of an osmotic controlled-release pharmaceutical tablet is used to measure water concentration as a function of tablet hydration time. A 1D mass transport model for tablet water hydration directly quantifies whether osmotic or diffusive processes dominate transport and is used to estimate transport coefficients for these processes. Magnetic resonance velocity mapping of Couette and Taylor vortex flow regimes for single and two-fluid systems in a vertically oriented Taylor-Couette device are compared to simulations. For the single fluids, the magnetic resonance experiments and Fluent© computational fluid dynamics simulations show excellent agreement in determining the rotation rate at which the flow transitions from Couette to Taylor vortex flow and the corresponding critical wavelength of the unstable flow. In the two-fluid studies, immiscible fluids are axially stratified in the stable density, heavy fluid on bottom, configuration. In both simulation and experiment, the two-fluid interface is observed to remain in the Couette flow regime after the pure fluids away from the interface have transitioned to the Taylor vortex flow regime, thus indicating a stabilizing force, surface tension, at the interface. A vertically oriented co-current jet-in-tube device with acetone as the jet fluid and water as the tube fluid, operated at low jet Reynolds numbers (Re jet ~ 17), is used to produce a laminar positively buoyant jet, which transitions to an unstable mixing regime, characterized by vortex formation and breakdown in flow visualization experiments. Magnetic resonance velocity mapping and diffusion measurements at varying positions downstream of the jet exit are used to characterize the mixing due to vortex formation and breakup. The buoyancy driven instability which results from introducing the less dense acetone (SG=0.79) into the more dense water (SG=1) in opposition to gravity gives rise to significantly enhanced hydrodynamic dispersion of the two fluids. Non-equilibrium statistical mechanics concepts are introduced as a model for mixing by the formation and decay of coherent vortex structures generated by the buoyant instability. Advisors/Committee Members: Chairperson, Graduate Committee: Sarah L. Codd, Joseph D. Seymour (co-chair) (advisor).

Subjects/Keywords: Magnetic resonance.; Taylor devices.; Nonequilibrium statistical mechanics.

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APA (6^th Edition):

Broadbent, A. L. (2011). Magnetic resonance studies of transport in multiphase pharmaceutical delivery and mixing systems. (Doctoral Dissertation). Montana State University. Retrieved from https://scholarworks.montana.edu/xmlui/handle/1/974

Chicago Manual of Style (16^th Edition):

Broadbent, Amber Lynn. “Magnetic resonance studies of transport in multiphase pharmaceutical delivery and mixing systems.” 2011. Doctoral Dissertation, Montana State University. Accessed March 01, 2021. https://scholarworks.montana.edu/xmlui/handle/1/974.

MLA Handbook (7^th Edition):

Broadbent, Amber Lynn. “Magnetic resonance studies of transport in multiphase pharmaceutical delivery and mixing systems.” 2011. Web. 01 Mar 2021.

Vancouver:

Broadbent AL. Magnetic resonance studies of transport in multiphase pharmaceutical delivery and mixing systems. [Internet] [Doctoral dissertation]. Montana State University; 2011. [cited 2021 Mar 01]. Available from: https://scholarworks.montana.edu/xmlui/handle/1/974.

Council of Science Editors:

Broadbent AL. Magnetic resonance studies of transport in multiphase pharmaceutical delivery and mixing systems. [Doctoral Dissertation]. Montana State University; 2011. Available from: https://scholarworks.montana.edu/xmlui/handle/1/974

University of Illinois – Urbana-Champaign

20. Leblanc, Michael P. Avalanches in plastic deformation: maximum velocity statistics, finite temperature effects, and analysis of low time resolution data.

Degree: PhD, Physics, 2016, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/93010

► In both crystalline and amorphous solids, plastic deformation consists of intermittent jumps called avalanches, whose sizes are power-law-distributed over a scaling regime. In this thesis,… (more)

▼ In both crystalline and amorphous solids, plastic deformation consists of intermittent jumps called avalanches, whose sizes are power-law-distributed over a scaling regime. In this thesis, we study the statistics of a simple mean-field avalanche model, with emphasis on both theoretical calculations and application to the analysis of experimental data on material deformation. We establish a relationship between the simple mean-field model and a continuous time model called the ABBM model, originally proposed as a phenomenological model of Barkhausen noise in magnets. The relationship is formally valid for ductile materials without significant weakening, but the results of our calculations are expected to apply to the small avalanches even in materials with high weakening. We then use the ABBM model to calculate several exact results concerning a system's maximum velocity during an avalanche. We find that the scaling of the maximum velocity distribution agrees with experiments on crystal plasticity. Left over from our calculations are several experimental predictions ready to be tested. The maximum velocity is a robust experimental observable and it has several distinct advantages over the more commonly-considered avalanche durations, so we expect our predictions to be useful in future tests of avalanche statistics in experimental systems. Then, motivated by recent creep deformation experiments that find scale-invariant avalanches, we develop a scaling theory for thermally-activated avalanches in the simple avalanche model near the critical point and at low temperature. We highlight several generic predictions for how statistical observables scale with temperature. Finally, we use the simple avalanche model to study how experimental avalanche measurements are influenced by the time resolution of the data. Using both experimental data and simulation data from the model, we determine how measured quantities change with resolution. From these relationships, we develop methods to diagnose when the time resolution low enough that it changes the measured avalanche statistics. We also propose a new analysis method that allows us to extract accurate size statistics from low-resolution data, and show that it is successful both on simulation data and downsampled high-resolution experimental data. Advisors/Committee Members: Dahmen, Karin A (advisor), Weaver, Richard L (Committee Chair), Weissman, Michael B (committee member), Cooper, S. Lance (committee member).

Subjects/Keywords: Avalanches; Nonequilibrium Statistical Mechanics; plastic deformation

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APA (6^th Edition):

Leblanc, M. P. (2016). Avalanches in plastic deformation: maximum velocity statistics, finite temperature effects, and analysis of low time resolution data. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/93010

Chicago Manual of Style (16^th Edition):

Leblanc, Michael P. “Avalanches in plastic deformation: maximum velocity statistics, finite temperature effects, and analysis of low time resolution data.” 2016. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed March 01, 2021. http://hdl.handle.net/2142/93010.

MLA Handbook (7^th Edition):

Leblanc, Michael P. “Avalanches in plastic deformation: maximum velocity statistics, finite temperature effects, and analysis of low time resolution data.” 2016. Web. 01 Mar 2021.

Vancouver:

Leblanc MP. Avalanches in plastic deformation: maximum velocity statistics, finite temperature effects, and analysis of low time resolution data. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2016. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/2142/93010.

Council of Science Editors:

Leblanc MP. Avalanches in plastic deformation: maximum velocity statistics, finite temperature effects, and analysis of low time resolution data. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2016. Available from: http://hdl.handle.net/2142/93010

University of Melbourne

21. Beaton, Nicholas Ross. Combinatorics of lattice paths and polygons.

Degree: 2012, University of Melbourne

URL: http://hdl.handle.net/11343/37652

► We consider the enumeration of self-avoiding walks and polygons on regular lattices. Such objects are connected with many other problems in combinatorics, as well as… (more)

▼ We consider the enumeration of self-avoiding walks and polygons on regular lattices. Such objects are connected with many other problems in combinatorics, as well as in fields as diverse as physics and chemistry. We examine the general models of walks and polygons and methods we can use to study them; subclasses whose properties enable a rather deeper analysis; and extensions of these models which allow us to model physical phenomena like polymer collapse and adsorption. While the general models of self-avoiding walks and polygons are certainly not considered to be ‘solved’, recently a great deal of progress has been made in developing new methods for studying these objects and proving rigorous results about their enumerative properties, particularly on the honeycomb lattice. We consider these recent results and show that in some cases they can be extended or generalised so as to enable further proofs, conjectures and estimates. In particular, we find that properties shared by all two-dimensional lattices allow us to develop new methods for estimating the growth constants and certain amplitudes for the square and triangular lattices. The subclasses of self-avoiding walks and polygons that we consider are typically defined by imposing restrictions on the way in which a walk or polygon can be constructed. Ideally the restrictions should be as weak as possible, so as to result in a model that closely resembles the unrestricted case, while still enabling some manner of simple recursive construction. These recursions can sometimes lead to solutions for generating functions or other quantities of interest. Some of the models we consider display quite unusual asymptotic properties despite the relatively simple restrictions which lead to their construction. We approach the modelling of polymer adsorption in several ways. Firstly, we adapt some of the new methods for studying self-avoiding walks on the honeycomb lattice to account for interactions with an impenetrable surface. In this way we are able to prove the exact value of the critical surface fugacity for adsorbing walks, confirming an existing conjecture. Then, we show that some key identities for the honeycomb lattice model lead to a new method for estimating the critical surface fugacities for adsorption models on the square and triangular lattices. Many of the estimates we obtain in this way are new; for the cases where previous estimates did already exist, our results are several orders of magnitude more precise. Finally, we define some new solvable models of polymer adsorption which generalise existing models, and find that some of these models exhibit interesting and unexpected critical behaviour.

Subjects/Keywords: combinatorics; statistical mechanics; polymers; self-avoiding walks

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APA (6^th Edition):

Beaton, N. R. (2012). Combinatorics of lattice paths and polygons. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/37652

Chicago Manual of Style (16^th Edition):

Beaton, Nicholas Ross. “Combinatorics of lattice paths and polygons.” 2012. Doctoral Dissertation, University of Melbourne. Accessed March 01, 2021. http://hdl.handle.net/11343/37652.

MLA Handbook (7^th Edition):

Beaton, Nicholas Ross. “Combinatorics of lattice paths and polygons.” 2012. Web. 01 Mar 2021.

Vancouver:

Beaton NR. Combinatorics of lattice paths and polygons. [Internet] [Doctoral dissertation]. University of Melbourne; 2012. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/11343/37652.

Council of Science Editors:

Beaton NR. Combinatorics of lattice paths and polygons. [Doctoral Dissertation]. University of Melbourne; 2012. Available from: http://hdl.handle.net/11343/37652

University of Melbourne

22. LEE, ALEXANDER. Discretely holomorphic observables in statistical mechanics.

Degree: 2014, University of Melbourne

URL: http://hdl.handle.net/11343/45173

► In this thesis we investigate applications of discretely holomorphic observables in two-dimensional statistical mechanical lattice models. Discretely holomorphic observables or parafermionic ob- servables are functions… (more)

▼ In this thesis we investigate applications of discretely holomorphic observables in two-dimensional statistical mechanical lattice models. Discretely holomorphic observables or parafermionic ob- servables are functions defined on a graph embedding which depend on a real-valued parameter known as the parafermionic spin. Such observables were introduced in the context of lattice models in order to rigorously prove that the scaling limit of a given model is conformally invariant. This approach has been successfully carried out for the dimer model, percolation and the Ising model. However, these observables also have important applications at the lattice level. For example, Cardy and Ikhlef showed that they are naturally related to the Yang-Baxter integrability of the model, providing a straightforward method for obtaining the integrable weights. We further this connection by defining discretely holomorphic observables for loop models in domains with a boundary, showing that for a simple set of boundary conditions, the integrable boundary weights are obtained. This is true for models with diagonal as well as off-diagonal boundary weights, in which case the observables of Cardy and Ikhlef must be further generalised. Duminil-Copin and Smirnov made use of the discrete holomorphicity property in order to prove Nienhuis’ conjectured value for the connective constant of self-avoiding walks on the honeycomb lattice. We show that by relaxing the discrete holomorphicity condition we obtain an off-critical condition which allows us to relate certain critical exponents of different classes of self-avoiding walks in the dilute O(n) model. We are also able to derive an exponent equality and several exponent inequalities related to the winding angle distribution of the O(n) model, whose full distribution was first predicted using Conformal Field Theory techniques by Duplantier and Saleur. Finally we define parafermionic observables for the Andrews-Baxter-Forrester heights mod- els at the critical point. These models remain integrable away from the critical point. We therefore expect that the off-critical integrable weights should arise from an off-critical discrete holomorphicity condition, similar to that which we defined in the context of the dilute O(n) model.

Subjects/Keywords: statistical mechanics; lattice models; integrable models

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APA (6^th Edition):

LEE, A. (2014). Discretely holomorphic observables in statistical mechanics. (Doctoral Dissertation). University of Melbourne. Retrieved from http://hdl.handle.net/11343/45173

Chicago Manual of Style (16^th Edition):

LEE, ALEXANDER. “Discretely holomorphic observables in statistical mechanics.” 2014. Doctoral Dissertation, University of Melbourne. Accessed March 01, 2021. http://hdl.handle.net/11343/45173.

MLA Handbook (7^th Edition):

LEE, ALEXANDER. “Discretely holomorphic observables in statistical mechanics.” 2014. Web. 01 Mar 2021.

Vancouver:

LEE A. Discretely holomorphic observables in statistical mechanics. [Internet] [Doctoral dissertation]. University of Melbourne; 2014. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/11343/45173.

Council of Science Editors:

LEE A. Discretely holomorphic observables in statistical mechanics. [Doctoral Dissertation]. University of Melbourne; 2014. Available from: http://hdl.handle.net/11343/45173

University of Aberdeen

23. Faggian, Marco.; Ginelli, Francesco.; Levnajić, Zoran,1977-; University of Aberdeen.Dept. of Physics. Outstanding problems in nonequilibrium statistical physics.

Degree: Dept. of Physics., 2019, University of Aberdeen

URL: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=241679 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=241679&custom_att_2=simple_viewer

Subjects/Keywords: Nonequilibrium statistical mechanics.

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APA (6^th Edition):

Faggian, Marco.; Ginelli, Francesco.; Levnajić, Z. U. o. A. D. o. P. (2019). Outstanding problems in nonequilibrium statistical physics. (Doctoral Dissertation). University of Aberdeen. Retrieved from http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=241679 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=241679&custom_att_2=simple_viewer

Chicago Manual of Style (16^th Edition):

Faggian, Marco.; Ginelli, Francesco.; Levnajić, Zoran,1977-; University of Aberdeen Dept of Physics. “Outstanding problems in nonequilibrium statistical physics.” 2019. Doctoral Dissertation, University of Aberdeen. Accessed March 01, 2021. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=241679 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=241679&custom_att_2=simple_viewer.

MLA Handbook (7^th Edition):

Faggian, Marco.; Ginelli, Francesco.; Levnajić, Zoran,1977-; University of Aberdeen Dept of Physics. “Outstanding problems in nonequilibrium statistical physics.” 2019. Web. 01 Mar 2021.

Vancouver:

Faggian, Marco.; Ginelli, Francesco.; Levnajić ZUoADoP. Outstanding problems in nonequilibrium statistical physics. [Internet] [Doctoral dissertation]. University of Aberdeen; 2019. [cited 2021 Mar 01]. Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=241679 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=241679&custom_att_2=simple_viewer.

Council of Science Editors:

Faggian, Marco.; Ginelli, Francesco.; Levnajić ZUoADoP. Outstanding problems in nonequilibrium statistical physics. [Doctoral Dissertation]. University of Aberdeen; 2019. Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid=241679 ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=241679&custom_att_2=simple_viewer

Virginia Tech

24. Anandakrishnan, Ramamoorthi. Speeding up electrostatic computations for molecular dynamics.

Degree: PhD, Computer Science and Applications, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/40262

► Molecular dynamics (MD) simulations are routinely used to study the structure and function of biological molecules. However the accuracy and duration of these simulations are… (more)

▼ Molecular dynamics (MD) simulations are routinely used to study the structure and function of biological molecules. However the accuracy and duration of these simulations are constrained by their computational costs, thus limiting the ability to accurately simulate systems of realistic sizes over biologically relevant time periods. The two most computationally demanding steps in these simulations are (1) determining the charge state of ionizable sites in biomolecules, which is a key input to the simulation, and (2) calculating long range electrostatic interactions during the simulation. Presented here are two novel methods, the direct interaction approximation (DIA) and the hierarchical charge partitioning (HCP) approximation, for speeding up each of these two computations. The average charge state of ionizable sites in biomolecules can be calculated as the statistical average over all possible (2^N) microstates for a molecule, where N is the number of ionizable sites. In general this computation scales exponentially as O(N² 2^N). The DIA is an O(²) approximation for calculating the average charge state of ionizable sites. For each site, the DIA treats direct interactions (interactions involving the site of interest) exactly, while using an average value for indirect interactions (interactions not involving the site of interest). The DIA was tested on two problems. The computation of thermal average properties for the 2-D Ising model of ferromagnetism, and the average charge state of ionizable residues in biomolecules. Compared to the commonly used non-deterministic Monte Carlo method, for the same computational cost, the deterministic DIA was found to be at least as accurate, as measured by RMS error relative to the exact computation. Thus, the DIA may be a practical alternative to the Monte Carlo method for some problems. In atomistic MD simulations, the computation of long range electrostatic interactions, scale as O(n²), where n is the number of atoms. For most biologically relevant timescales the simulations involve 10^12–16 simulation steps. Thus, the computational cost of long range interactions become the limiting factor in the size and duration of MD simulations. The HCP is an O(n log n) approximation for computing long range electrostatic interactions. The approximation is based on multiple levels of natural partitioning of biomolecular structures into a hierarchical set of components. For components that are far from the point of interest, the charge distribution for each component is approximated by a much smaller number of charges. For nearby components, the HCP uses the full set of atomic charges. For large structures the HCP can be several orders of magnitude faster than the exact pairwise O(n²) all-atom computation. For a representative set of structures, the accuracy of the HCP is comparable to the industry standard explicit solvent particle mesh Ewald (PME), and is in general more accurate than the… Advisors/Committee Members: Onufriev, Alexey V. (committeechair), Bevan, David R. (committee member), Cao, Yang (committee member), Sandu, Adrian (committee member), Xing, Jianhua (committee member).

Subjects/Keywords: statistical mechanics; biomolecular electrostatics; molecular dynamics

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APA (6^th Edition):

Anandakrishnan, R. (2011). Speeding up electrostatic computations for molecular dynamics. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/40262

Chicago Manual of Style (16^th Edition):

Anandakrishnan, Ramamoorthi. “Speeding up electrostatic computations for molecular dynamics.” 2011. Doctoral Dissertation, Virginia Tech. Accessed March 01, 2021. http://hdl.handle.net/10919/40262.

MLA Handbook (7^th Edition):

Anandakrishnan, Ramamoorthi. “Speeding up electrostatic computations for molecular dynamics.” 2011. Web. 01 Mar 2021.

Vancouver:

Anandakrishnan R. Speeding up electrostatic computations for molecular dynamics. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/10919/40262.

Council of Science Editors:

Anandakrishnan R. Speeding up electrostatic computations for molecular dynamics. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/40262

25. Barton, John, 1983-. Simple models of complex systems.

Degree: Physics and Astronomy, 2012, Rutgers University

URL: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000066614

Subjects/Keywords: Statistical mechanics

…100 xi 1 Chapter 1 Introduction Broadly speaking, the goal of statistical mechanics is… …evolution. This goal has been largely accomplished in equilibrium statistical mechanics, where… …given by the statistical fluctuations δp∗ i , δcij . . . . . . . . . . . 69 4.5. Spiking… …values p∗ i , cij (horizontal). The error ∗ bars are given by the statistical… …rules for constructing appropriate statistical ensembles provide a means of computing…

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APA (6^th Edition):

Barton, John, 1. (2012). Simple models of complex systems. (Thesis). Rutgers University. Retrieved from http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000066614

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Barton, John, 1983-. “Simple models of complex systems.” 2012. Thesis, Rutgers University. Accessed March 01, 2021. http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000066614.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Barton, John, 1983-. “Simple models of complex systems.” 2012. Web. 01 Mar 2021.

Vancouver:

Barton, John 1. Simple models of complex systems. [Internet] [Thesis]. Rutgers University; 2012. [cited 2021 Mar 01]. Available from: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000066614.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Barton, John 1. Simple models of complex systems. [Thesis]. Rutgers University; 2012. Available from: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000066614

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Northeastern University

26. Zhao, Kun. Statistical mechanics of temporal and interacting networks.

Degree: PhD, Department of Physics, 2013, Northeastern University

URL: http://hdl.handle.net/2047/d20003046

► In the last ten years important breakthroughs in the understanding of the topology of complexity have been made in the framework of network science. Indeed… (more)

▼ In the last ten years important breakthroughs in the understanding of the topology of complexity have been made in the framework of network science. Indeed it has been found that many networks belong to the universality classes called small-world networks or scale-free networks. Moreover it was found that the complex architecture of real world networks strongly affects the critical phenomena defined on these structures. Nevertheless the main focus of the research has been the characterization of single and static networks.; Recently, temporal networks and interacting networks have attracted large interest. Indeed many networks are interacting or formed by a multilayer structure. Example of these networks are found in social networks where an individual might be at the same time part of different social networks, in economic and financial networks, in physiology or in infrastructure systems. Moreover, many networks are temporal, i.e. the links appear and disappear on the fast time scale. Examples of these networks are social networks of contacts such as face-to-face interactions or mobile-phone communication, the time-dependent correlations in the brain activity and etc. Understanding the evolution of temporal and multilayer networks and characterizing critical phenomena in these systems is crucial if we want to describe, predict and control the dynamics of complex system.; In this thesis, we investigate several statistical mechanics models of temporal and interacting networks, to shed light on the dynamics of this new generation of complex networks. First, we investigate a model of temporal social networks aimed at characterizing human social interactions such as face-to-face interactions and phone-call communication. Indeed thanks to the availability of data on these interactions, we are now in the position to compare the proposed model to the real data finding good agreement.; Second, we investigate the entropy of temporal networks and growing networks to provide a new framework to quantify the information encoded in these networks and to answer a fundamental problem in network science: how complex are temporal and growing networks.; Finally, we consider two examples of critical phenomena in interacting networks. In particular , on one side we investigate the percolation of interacting networks by introducing antagonistic interactions. On the other side, we investigate a model of political election based on the percolation of antagonistic networks . The aim of this research is to show how antagonistic interactions change the physics of critical phenomena on interacting networks.; We believe that the work presented in these thesis offers the possibility to appreciate the large variability of problems that can be addressed in the new framework of temporal and interacting networks.

Subjects/Keywords: Network Science; Statistical Mechanics; OS and Networks; Physics; Statistical Models

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APA (6^th Edition):

Zhao, K. (2013). Statistical mechanics of temporal and interacting networks. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/d20003046

Chicago Manual of Style (16^th Edition):

Zhao, Kun. “Statistical mechanics of temporal and interacting networks.” 2013. Doctoral Dissertation, Northeastern University. Accessed March 01, 2021. http://hdl.handle.net/2047/d20003046.

MLA Handbook (7^th Edition):

Zhao, Kun. “Statistical mechanics of temporal and interacting networks.” 2013. Web. 01 Mar 2021.

Vancouver:

Zhao K. Statistical mechanics of temporal and interacting networks. [Internet] [Doctoral dissertation]. Northeastern University; 2013. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/2047/d20003046.

Council of Science Editors:

Zhao K. Statistical mechanics of temporal and interacting networks. [Doctoral Dissertation]. Northeastern University; 2013. Available from: http://hdl.handle.net/2047/d20003046

27. Gniewek, Pawel. Mechanics of Confined Microbial Populations.

Degree: Biophysics, 2018, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/48f65099

► Living systems offer a richness of behaviors that are of broad interest to many fields of science. For instance, cells that are dwelling in their… (more)

▼ Living systems offer a richness of behaviors that are of broad interest to many fields of science. For instance, cells that are dwelling in their natural environment are mostly subject not only to the scarcity of energy resources, but also the space in which they can grow and live. This space limitation eventually leads to the emergence of contact forces (mechanical stress) between neighboring cells or the cells and their confining environment. These emergent forces may further have a crucial impact on the cells' biology, the dynamics of the whole population, or even the integrity of confinement (resulting in the remodeling of the environment). Even though the general importance of these forces has been widely recognized, technical difficulties and the complexity of the emergent phenomena prevented much progress in this direction. In this thesis, using mostly computer simulations, I make steps towards overcoming these barriers. In the first part of this thesis, I describe, on the coarse level, how the geometric properties of micro-confinement entails clogging of the microbial populations of Saccharomyces cerevisiae. These clogged populations are found to be quite disordered, with intermittent growth dynamics and heterogeneous mechanical stresses - properties much more like those of granular materials than a continuum. Thus, granular materials are an appealing framework to describe dense microbial populations. However, using a simple 2D model, I numerically show that the coupling between cellular growth rate and mechanical stress gives rise to deviation from the expected behavior of inanimate granular materials, and it increases the complexity of the emergent phenomena. The simple and coarse model used in the first part of the thesis is sufficient for relatively low density systems, but it is not adequate for strongly compacted systems. Thus, in the second part of this thesis, I employ the Finite Element Method to study in detail the structure and mechanics of the disordered packings of elastic shells - our proxy model for dense cellular packings. Therein, I discuss how deformations resulting from large compressive forces couple the structural and mechanical properties of the compact packings. Finally, using Lattice-Boltzmann simulations, I investigate the fluid transport in such compacted packings of deformable shells. I show that a relatively simple model proposed by Kozeny & Carman, combined with a percolation theory, can capture the fluid transport in porous materials. This result is of interest not only in dense biological systems, but also in a broader class of granular porous materials.

Subjects/Keywords: Biophysics; Computational physics; Mechanics; Continuum mechanics; Fluid mechanics; Granular materials; Jamming transition; Percolation theory; Statistical Mechanics

10 more images…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gniewek, P. (2018). Mechanics of Confined Microbial Populations. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/48f65099

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Gniewek, Pawel. “Mechanics of Confined Microbial Populations.” 2018. Thesis, University of California – Berkeley. Accessed March 01, 2021. http://www.escholarship.org/uc/item/48f65099.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Gniewek, Pawel. “Mechanics of Confined Microbial Populations.” 2018. Web. 01 Mar 2021.

Vancouver:

Gniewek P. Mechanics of Confined Microbial Populations. [Internet] [Thesis]. University of California – Berkeley; 2018. [cited 2021 Mar 01]. Available from: http://www.escholarship.org/uc/item/48f65099.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gniewek P. Mechanics of Confined Microbial Populations. [Thesis]. University of California – Berkeley; 2018. Available from: http://www.escholarship.org/uc/item/48f65099

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Washington

28. LaMont, Colin. The search for an organizing physical framework for statistics.

Degree: PhD, 2018, University of Washington

URL: http://hdl.handle.net/1773/42512

► Theories of statistical analysis remain in conflict and contradiction. But nature reveals an elegant and coherent formulation of statistics in the thermal properties of physical… (more)

Subjects/Keywords: Bayesian; Frequentist; Information Criteria; Model Selection; Statistical Mechanics; Thermodynamics; Statistical physics; Statistics; Physics

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APA (6^th Edition):

LaMont, C. (2018). The search for an organizing physical framework for statistics. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/42512

Chicago Manual of Style (16^th Edition):

LaMont, Colin. “The search for an organizing physical framework for statistics.” 2018. Doctoral Dissertation, University of Washington. Accessed March 01, 2021. http://hdl.handle.net/1773/42512.

MLA Handbook (7^th Edition):

LaMont, Colin. “The search for an organizing physical framework for statistics.” 2018. Web. 01 Mar 2021.

Vancouver:

LaMont C. The search for an organizing physical framework for statistics. [Internet] [Doctoral dissertation]. University of Washington; 2018. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1773/42512.

Council of Science Editors:

LaMont C. The search for an organizing physical framework for statistics. [Doctoral Dissertation]. University of Washington; 2018. Available from: http://hdl.handle.net/1773/42512

IUPUI

29. Liechty, Karl Edmund. Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice.

Degree: 2011, IUPUI

URL: http://hdl.handle.net/1805/2482

►

Indiana University-Purdue University Indianapolis (IUPUI)

In this dissertation the partition function, Z_n, for the six-vertex model with domain wall boundary conditions is solved in the… (more)

Subjects/Keywords: Statistical Mechanics, Random Matrices, Orthogonal Polynomials, Asymptotics, Riemann-Hilbert Problems; Statistical mechanics; Random matrices; Orthogonal polynomials; Riemann-Hilbert problems

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APA (6^th Edition):

Liechty, K. E. (2011). Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice. (Thesis). IUPUI. Retrieved from http://hdl.handle.net/1805/2482

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Liechty, Karl Edmund. “Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice.” 2011. Thesis, IUPUI. Accessed March 01, 2021. http://hdl.handle.net/1805/2482.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Liechty, Karl Edmund. “Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice.” 2011. Web. 01 Mar 2021.

Vancouver:

Liechty KE. Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice. [Internet] [Thesis]. IUPUI; 2011. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1805/2482.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Liechty KE. Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice. [Thesis]. IUPUI; 2011. Available from: http://hdl.handle.net/1805/2482

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Lund

30. Abrikossov, Alexei. Modelling anisotropic interactions in colloidal systems.

Degree: 2017, University of Lund

URL: https://lup.lub.lu.se/record/f7f8464f-9df6-41c1-9781-d9056427aad7 ; https://portal.research.lu.se/ws/files/22428556/thesis.pdf

► There has been an increased interest to design “smart materials” which can self-assemble into complex structures in accordance to external factors such as for example… (more)

Subjects/Keywords: Natural Sciences; SIMULATION; Modelling; electrostatic interactions; Colloids; Statistical mechanics; SIMULATION; Modelling; electrostatic interactions; colloid; Statistical mechanics

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APA (6^th Edition):

Abrikossov, A. (2017). Modelling anisotropic interactions in colloidal systems. (Doctoral Dissertation). University of Lund. Retrieved from https://lup.lub.lu.se/record/f7f8464f-9df6-41c1-9781-d9056427aad7 ; https://portal.research.lu.se/ws/files/22428556/thesis.pdf

Chicago Manual of Style (16^th Edition):

Abrikossov, Alexei. “Modelling anisotropic interactions in colloidal systems.” 2017. Doctoral Dissertation, University of Lund. Accessed March 01, 2021. https://lup.lub.lu.se/record/f7f8464f-9df6-41c1-9781-d9056427aad7 ; https://portal.research.lu.se/ws/files/22428556/thesis.pdf.

MLA Handbook (7^th Edition):

Abrikossov, Alexei. “Modelling anisotropic interactions in colloidal systems.” 2017. Web. 01 Mar 2021.

Vancouver:

Abrikossov A. Modelling anisotropic interactions in colloidal systems. [Internet] [Doctoral dissertation]. University of Lund; 2017. [cited 2021 Mar 01]. Available from: https://lup.lub.lu.se/record/f7f8464f-9df6-41c1-9781-d9056427aad7 ; https://portal.research.lu.se/ws/files/22428556/thesis.pdf.

Council of Science Editors:

Abrikossov A. Modelling anisotropic interactions in colloidal systems. [Doctoral Dissertation]. University of Lund; 2017. Available from: https://lup.lub.lu.se/record/f7f8464f-9df6-41c1-9781-d9056427aad7 ; https://portal.research.lu.se/ws/files/22428556/thesis.pdf

Open Access Theses and Dissertations