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University of Southern California

1. Liang, Yung-Ching. On the Feynman path into the sun.

Degree: PhD, Physics, 2013, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/299212/rec/4532

This study deals with solar-physics applications of a
recent equation-of-state formalism based on the formulation of the
so-called ""Feynman-Kac (FK) representation"". This formalism leads
to an exact virial expansion of the thermodynamic functions in
powers of the particle densities of a Coulomb plasma (""exact""
here refers to the accuracy of the low-order virial coefficients of
the expansion). By taking advantage of the exact and analytic form
of this virial expansion, we can probe the thermodynamic properties
of the solar interior, both in detail and to an accuracy that has
so far not been achieved with currently available equation-of-state
formalisms. For reacting plasmas, virial-expansion equation of
state have an intrinsic problem when the plasma is less than fully
ionized. Fortunately, in most parts of the Sun's interior, the
plasma is almost completely ionized. Therefore, the FK virial
equation of state can be applicable, but only in the deeper (and
hotter) solar interior. The precise boundary of the domain of
validity of the virial expansion depends on the elements included
in the formalism. Since the computational effort increases
tremendously with an increasing number of chemical elements, here,
we choose to represent the heavier elements by a single one,
oxygen. This approximation is reasonable for the following reason.
In the Sun, the major heavy elements (that is, the elements other
than H and He which together comprise more than 98% of the mass
fraction) are C, N and O. They all have a similar effect in the
equation of state. Then, the other elements, such as Fe and Ne, are
so little abundant that they have altogether a very small effect in
the equation of state (although they are very important in
spectroscopy). Assuming the relevant constituents of the Sun to be
H, He, and O, we have examined the effects on thermodynamic
quantities from each of these components. With the aid of the FK
formalism, we have studied the influences of the contributions to
the respective different partial pressure. This not only helps us
to understand the intrinsic challenge of applying the virial
expansion, but also to analyze the various effects quantitatively.
We have also tackled the aforementioned main limitation of the
virial expansion, that is, its breakdown for relatively low
temperatures, where the plasma is clearly less than fully ionized.
For this, we have replaced the virial equation for these outer
regions for the Sun by another, similar equation of state, the
so-called ""scaled low temperature (SLT)"" expansion. Current
versions of SLT are so far only for one chemical element, therefore
restricted to the hydrogen part of the solar plasma. However, since
hydrogen is the most abundant element in the Sun (more than 90% by
number), SLT in its current form is already useful, if one adds the
contributions of the remaining elements (He and heavy elements)
using conventional equation-of-state formalisms. In such a
procedure, an improved H part and a conventional treatment of the
other elements will none the less lead…
*Advisors/Committee Members: Haas, Stephan (Committee Chair), Däppen, Werner (Committee Member), Dappen, Werner (Committee Member), Daeppen, Werner (Committee Member), Bickers, Nelson Eugene (Committee Member), Nakano, Aiichiro (Committee Member), Wang, Joseph (Committee Member).*

Subjects/Keywords: EOS; equation of state; virial expansion; scaled low temperature expansion; Feynman-Kac path integral; Sun; quantum Coulomb plasma; MHD; OPAL; CEFF

Record Details Similar Records

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

APA (6^{th} Edition):

Liang, Y. (2013). On the Feynman path into the sun. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/299212/rec/4532

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

Liang, Yung-Ching. “On the Feynman path into the sun.” 2013. Doctoral Dissertation, University of Southern California. Accessed April 19, 2019. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/299212/rec/4532.

MLA Handbook (7^{th} Edition):

Liang, Yung-Ching. “On the Feynman path into the sun.” 2013. Web. 19 Apr 2019.

Vancouver:

Liang Y. On the Feynman path into the sun. [Internet] [Doctoral dissertation]. University of Southern California; 2013. [cited 2019 Apr 19]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/299212/rec/4532.

Council of Science Editors:

Liang Y. On the Feynman path into the sun. [Doctoral Dissertation]. University of Southern California; 2013. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/299212/rec/4532

University of Florida

2.
Woltz, Lawrence A., 1949- ( Dissertant ).
Stark broadening in laser-produced plasmas full *Coulomb* calculation.

Degree: 1982, University of Florida

URL: http://ufdc.ufl.edu/UF00099368

This work is a study of the Stark broadening of spectral lines

Subjects/Keywords: Approximation; Asymmetry; Electron scattering; Electrons; Ions; Line spectra; Plasmas; Power lines; Quantum numbers; Radiators; Coulomb excitation; Physics thesis Ph. D; Plasma radiation; Plasma spectroscopy; Stark effect

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Woltz, Lawrence A., 1. (. D. ). (1982). Stark broadening in laser-produced plasmas full Coulomb calculation. (Thesis). University of Florida. Retrieved from http://ufdc.ufl.edu/UF00099368

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):

Woltz, Lawrence A., 1949- ( Dissertant ). “Stark broadening in laser-produced plasmas full Coulomb calculation.” 1982. Thesis, University of Florida. Accessed April 19, 2019. http://ufdc.ufl.edu/UF00099368.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Woltz, Lawrence A., 1949- ( Dissertant ). “Stark broadening in laser-produced plasmas full Coulomb calculation.” 1982. Web. 19 Apr 2019.

Vancouver:

Woltz, Lawrence A. 1(D). Stark broadening in laser-produced plasmas full Coulomb calculation. [Internet] [Thesis]. University of Florida; 1982. [cited 2019 Apr 19]. Available from: http://ufdc.ufl.edu/UF00099368.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Woltz, Lawrence A. 1(D). Stark broadening in laser-produced plasmas full Coulomb calculation. [Thesis]. University of Florida; 1982. Available from: http://ufdc.ufl.edu/UF00099368

Not specified: Masters Thesis or Doctoral Dissertation