Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Apr 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...352..689r&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 352, April 1, 1990, p. 689-697.
Physics
Condensed Matter
Statistical Mechanics
10
Equations Of State, Hydrogen Plasma, Pair Production, Proton-Proton Reactions, Statistical Mechanics, Debye-Huckel Theory, Ground State, Kinetic Energy, Poisson Equation
Scientific paper
A method is presented to obtain the equation of state and the effective bound-state occupation numbers from the proton-proton and electron-proton pair distribution functions. The pair distribution functions are obtained by solving the classical hypernetted chain equation for pseudopotentials determined from quantum mechanical considerations. The calculations are limited to low density so that the electrostatic potential may be separated into a part that remains atomic and a part due to plasma. The effective occupation numbers are the coefficients in the linear sum over potential functions that correspond to unperturbed atoms in the various occupied states. For the densities studied, the balance between the atomic and plasma parts varies smoothly with temperature and density.
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