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Vanderbilt University

1. Parvizi, Mahmoud. Finite Time and Density Effects on Interacting Quantum Fields in Cosmological Spacetimes.

Degree: PhD, Physics, 2019, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-03222019-221902/ ;

A covariant description of quantum matter fields in the early universe underpins models for the origin of species, e.g. baryogenesis and dark matter production. In nearly all cases the relevant cosmological observables are computed in a general approximation, via the standard irreducible representations found in the operator formalism of particle physics, where intricacies related to a renormalized stress-energy tensor in a non-stationary spacetime are ignored. Models of the early universe also include a dense environment of quantum fields where far-from-equilibrium interactions manifest expressions for observables with substantive corrections to the leading terms. An alternate treatment of these cosmological observables may be carried out within the framework of algebraic quantum field theory in curved spacetime, where the field theoretic model of quantum matter is compatible with the classical effects of general relativity. Here, we take the first step towards computing such an observable. We employ the algebraic formalism while considering far-from-equilibrium interactions in a dense environment under the influence of a classical, yet non-stationary, spacetime to derive an expression for the perturbed energy density as a component of the renormalized stress-energy tensor associated with common proposals for quantum matter production in the early universe.
*Advisors/Committee Members: Marcelo M. Disconzi (committee member), Andreas A. Berlind (committee member), Robert J. Scherrer (chair), Thomas W. Kephart (committee member), Thomas J. Weiler (committee member).*

Subjects/Keywords: Algebraic Quantum Field Theory; Quantum Field Theory in Curved Spacetime; Cosmology

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

APA (6^{th} Edition):

Parvizi, M. (2019). Finite Time and Density Effects on Interacting Quantum Fields in Cosmological Spacetimes. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-03222019-221902/ ;

Chicago Manual of Style (16^{th} Edition):

Parvizi, Mahmoud. “Finite Time and Density Effects on Interacting Quantum Fields in Cosmological Spacetimes.” 2019. Doctoral Dissertation, Vanderbilt University. Accessed November 14, 2019. http://etd.library.vanderbilt.edu/available/etd-03222019-221902/ ;.

MLA Handbook (7^{th} Edition):

Parvizi, Mahmoud. “Finite Time and Density Effects on Interacting Quantum Fields in Cosmological Spacetimes.” 2019. Web. 14 Nov 2019.

Vancouver:

Parvizi M. Finite Time and Density Effects on Interacting Quantum Fields in Cosmological Spacetimes. [Internet] [Doctoral dissertation]. Vanderbilt University; 2019. [cited 2019 Nov 14]. Available from: http://etd.library.vanderbilt.edu/available/etd-03222019-221902/ ;.

Council of Science Editors:

Parvizi M. Finite Time and Density Effects on Interacting Quantum Fields in Cosmological Spacetimes. [Doctoral Dissertation]. Vanderbilt University; 2019. Available from: http://etd.library.vanderbilt.edu/available/etd-03222019-221902/ ;

Vanderbilt University

2. Villalobos GuillÃ©n, CristÃ³bal. A Measure Theoretic Approach for the Recovery of Remanent Magnetizations.

Degree: PhD, Mathematics, 2019, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-03262019-051041/ ;

This work is motivated by the problem of recovering the magnetization M of a rock sample from
a given set of measurements for the magnetic field it generates. Modeling the magnetization by an
R 3 -valued measure, we focus on the study of inverse problems for the Poisson equation with source
term the divergence of M; that is,
âÎ¦ = divM,
where Î¦ denotes the Magnetic Scalar Potential whose gradient is assumed to be known on a set
disjoint from the support of the measure M. We develop methods for recovering M based on total
variation regularization of measures. We provide sufficient conditions for the unique recovery of a
magnetization in cases where it is uni-directional or when the magnetization has a support which
is sparse in the sense that it is purely 1-unrectifiable.
In the last chapter we work on the ideal case where the magnetized sample is contained in a
subset of the horizontal plane. For this case we show that all magnetizations which do not generate
a magnetic field can be decomposed as a superposition of loops. The findings presented in this
chapter rely on the theory of functions of Bounded Variation and sets of finite perimeter and give
a characterization for magnetizations that do not generate a magnetic field.
Numerical examples are provided to illustrate the main theoretical results.
*Advisors/Committee Members: Marcelo M. Disconzi (committee member), Guilherme A.R. Gualda (committee member), Edward B. Saff (committee member), Akram Aldroubi (committee member), Douglas P. Hardin (chair).*

Subjects/Keywords: geometric measure theory; BV fucntions; Inverse problems; Inverse problems in electromagnetism

Record Details Similar Records

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

APA (6^{th} Edition):

Villalobos GuillÃ©n, C. (2019). A Measure Theoretic Approach for the Recovery of Remanent Magnetizations. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-03262019-051041/ ;

Chicago Manual of Style (16^{th} Edition):

Villalobos GuillÃ©n, CristÃ³bal. “A Measure Theoretic Approach for the Recovery of Remanent Magnetizations.” 2019. Doctoral Dissertation, Vanderbilt University. Accessed November 14, 2019. http://etd.library.vanderbilt.edu/available/etd-03262019-051041/ ;.

MLA Handbook (7^{th} Edition):

Villalobos GuillÃ©n, CristÃ³bal. “A Measure Theoretic Approach for the Recovery of Remanent Magnetizations.” 2019. Web. 14 Nov 2019.

Vancouver:

Villalobos GuillÃ©n C. A Measure Theoretic Approach for the Recovery of Remanent Magnetizations. [Internet] [Doctoral dissertation]. Vanderbilt University; 2019. [cited 2019 Nov 14]. Available from: http://etd.library.vanderbilt.edu/available/etd-03262019-051041/ ;.

Council of Science Editors:

Villalobos GuillÃ©n C. A Measure Theoretic Approach for the Recovery of Remanent Magnetizations. [Doctoral Dissertation]. Vanderbilt University; 2019. Available from: http://etd.library.vanderbilt.edu/available/etd-03262019-051041/ ;

Vanderbilt University

3. Zhang, Hangfang. Impact of Designer-Controlled Parameters on Single-Event Responses for Flip-Flop Designs in Advanced Technologies.

Degree: PhD, Electrical Engineering, 2018, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-04072018-123506/ ;

Modern ICs need to be designed with proper designer-controllable factors to meet power, speed and single-event (SE) performance requirements in different applications. Commercial fabrication houses have successfully transitioned to FinFET structure for advanced semiconductor processes. For FinFET technologies, since the physical structure changes significantly compared to planar technologies, the underlying charge collection mechanism at a circuit node evolves that most single-event effects need to be reevaluated for FinFET technologies. This work characterizes SE performance for flip-flop (FF) designs in a commercial 14/16-nm bulk FinFET technology from a designerâs perspective. For the first time, effects of designer-controlled parameters related to fabrication process, such as threshold voltage, dual- and triple-well processes, on SE performance and power consumption have been investigated in FinFET technologies. Theoretic analysis, simulation and experimental results are used to understand the effects of threshold voltage and well structure on SE upset responses. By comparing with former planar technologies, this work provides designers with better understanding of how SE mechanism evolves from planar to FinFET technologies, better idea of overall SE performance for FF designs and provide design guidelines for choosing proper designer-controlled parameters for specific applications in FinFET technologies.
*Advisors/Committee Members: Marcelo M. Disconzi (committee member), Daniel M. Fleetwood (committee member), Bharat L. Bhuva (chair), Lloyd W. Massengill (committee member), Ronald D. Schrimpf (committee member).*

Subjects/Keywords: Single Event; Threshold Voltage; FinFET; Design Parameter; Temperature; Angular Incidence; Flip-Flop; Well Structure

Record Details Similar Records

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

APA (6^{th} Edition):

Zhang, H. (2018). Impact of Designer-Controlled Parameters on Single-Event Responses for Flip-Flop Designs in Advanced Technologies. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-04072018-123506/ ;

Chicago Manual of Style (16^{th} Edition):

Zhang, Hangfang. “Impact of Designer-Controlled Parameters on Single-Event Responses for Flip-Flop Designs in Advanced Technologies.” 2018. Doctoral Dissertation, Vanderbilt University. Accessed November 14, 2019. http://etd.library.vanderbilt.edu/available/etd-04072018-123506/ ;.

MLA Handbook (7^{th} Edition):

Zhang, Hangfang. “Impact of Designer-Controlled Parameters on Single-Event Responses for Flip-Flop Designs in Advanced Technologies.” 2018. Web. 14 Nov 2019.

Vancouver:

Zhang H. Impact of Designer-Controlled Parameters on Single-Event Responses for Flip-Flop Designs in Advanced Technologies. [Internet] [Doctoral dissertation]. Vanderbilt University; 2018. [cited 2019 Nov 14]. Available from: http://etd.library.vanderbilt.edu/available/etd-04072018-123506/ ;.

Council of Science Editors:

Zhang H. Impact of Designer-Controlled Parameters on Single-Event Responses for Flip-Flop Designs in Advanced Technologies. [Doctoral Dissertation]. Vanderbilt University; 2018. Available from: http://etd.library.vanderbilt.edu/available/etd-04072018-123506/ ;