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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Free Energy, Jupiter (Planet), Metallic Hydrogen, Statistical Mechanics, Computer Programs, Entropy, Equations Of State, Mathematical Models, Monte Carlo Method, Planetary Environments, Planetary Structure, Planetology

Scientific paper

A large quantity of data on the thermodynamic properties of hydrogen-helium metallic liquids have been obtained in extended computer calculations in which a Monte Carlo code essentially identical to that described by Hubbard (1972) was used. A model free energy for metallic hydrogen with a relatively small mass fraction of helium is discussed, taking into account the definition of variables, a procedure for choosing the free energy, values for the fitting parameters, and the evaluation of the entropy constants. Possibilities concerning a use of the obtained data in studies of the interiors of the outer planets are briefly considered.

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