Quantum Monte Carlo studies of dense hydrogen and two-dimensional Bose liquids
Magro, William R.
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https://hdl.handle.net/2142/23495
Description
Title
Quantum Monte Carlo studies of dense hydrogen and two-dimensional Bose liquids
Author(s)
Magro, William R.
Issue Date
1994
Doctoral Committee Chair(s)
Ceperley, David M.
Department of Study
Physics, Astronomy and Astrophysics
Physics, Condensed Matter
Physics, Fluid and Plasma
Discipline
Physics, Astronomy and Astrophysics
Physics, Condensed Matter
Physics, Fluid and Plasma
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Astronomy and Astrophysics
Physics, Condensed Matter
Physics, Fluid and Plasma
Language
eng
Abstract
Quantum Monte Carlo techniques; in their various incarnations, calculate ground state or finite temperature properties of many-body quantum systems. We apply the path-integral Monte Carlo method to hydrogen at densities and temperatures in the regime of cooperative thermal and pressure dissociation, relevant to structural models of the giant planets' interiors. We treat the protons and electrons as quantum particles, thereby avoiding the Born-Oppenheimer approximation. Fermi-Dirac exchange statistics are treated within the fixed-node approximation, with the nodes specified by the free Fermi gas. In the region of molecular dissociation, we observe properties consistent with and suggestive of a first order phase transition with positive density discontinuity $(n\sb{\rm H2}
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