Statistical mechanics of light elements at high pressure. VI - Liquid-state calculations with Thomas-Fermi-Dirac theory

Details Statistical mechanics of light elements at high pressure. VI - Liquid-state calculations with Thomas-Fermi-Dirac theory Statistical mechanics of light elements at high pressure. VI - Liquid-state calculations with Thomas-Fermi-Dirac theory

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...280..339m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 280, May 1, 1984, p. 339-345.

Physics

Condensed Matter

Statistical Mechanics

7

Gas Giant Planets, Helium Plasma, Hydrogen Plasma, Light Elements, Statistical Mechanics, Thomas-Fermi Model, Dirac Equation, Equations Of State, Helium Hydrogen Atmospheres, High Pressure, Phase Separation (Materials), Plasma Diagnostics

Scientific paper

A model free energy is developed for hydrogen-helium mixtures based on solid-state Thomas-Fermi-Dirac calculations at pressures relevant to the interiors of giant planets. Using a model potential similar to that for a two-component plasma, effective charges for the nuclei (which are in general smaller than the actual charges because of screening effects) are parameterized, being constrained by calculations at a number of densities, compositions, and lattice structures. These model potentials are then used to compute the equilibrium properties of H-He fluids using a charged hard-sphere model. The results find critical temperatures of about 0 K, 500 K, and 1500 K, for pressures of 10, 100, and 1000 Mbar, respectively. These phase separation temperatures are considerably lower (approximately 6,000-10,000 K) than those found from calculations using free electron perturbation theory, and suggest that H-He solutions should be stable against phase separation in the metallic zones of Jupiter and Saturn.

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