Statistical mechanics of light elements at high pressure. IV. A model free energy for the metallic phase

Journal Article · Thu Apr 01 00:00:00 EST 1976 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/154275· OSTI ID:7347398

DeWitt, H E; Hubbard, W B

A Monte Carlo program has been used to evaluate the thermodynamic properties of dense ionized hydrogen and hydrogen helium mixtures for a very wide range of temperature and density. Electron screening effects around each ion are taken into account by means of linear response theory and the Lindhard dielectric function. Approximately 150 data points were run, giving results as functions of the classical Coulomb interaction parameter GAMMA, electron screening as a function of r/subs/, and the hydrogen-helium ratio Y. The results were used to construct a model free energy from which thermodynamically consistent results for all derived thermodynamic functions can be easily computed. With this result the energy and pressure of metallic hydrogen and hydrogen and helium mixtures may be computed to within about 2 percent accuracy over the range 0<150, 0<1, and 0<0.5. (AIP)

• Research Organization: Lawrence Livermore Laboratory
• OSTI ID: 7347398
• Journal Information: Astrophys. J.; (United States), Vol. 205:1
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
JUPITER PLANET
FREE ENERGY
EQUATIONS OF STATE
HELIUM
HYDROGEN
METALS
PRESSURE DEPENDENCE
CRYOGENIC FLUIDS
ELEMENTS
ENERGY
EQUATIONS
FLUIDS
NONMETALS
PHYSICAL PROPERTIES
PLANETS
RARE GASES
THERMODYNAMIC PROPERTIES
640107* - Astrophysics &amp; Cosmology- Planetary Phenomena