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The Equation of State of Fluid Hydrogen at High Density

Published online by Cambridge University Press:  12 April 2016

G. Chabrier
G. Chabrier*
Affiliation:
Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 69364 Lyon Cedex07, France

Abstract

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We present a free energy model for fluid hydrogen at high-density and high-temperature. This model aims at describing pressure dissociation and ionization, which occur in partially ionized plasmas encountered in the interiors of giant planets and low-mass stars. The model describes an interacting mixture of H2, H, H+ and e− in chemical equilibrium. The concentrations of H2+ and H− ions are found to be negligible for equation of state purposes. Our model relies on the so-called chemical picture approach, based on the factorization of the partition function into translational, internal and configurational degrees of freedom. The present model is found to be unstable in the pressure-ionization regime and predicts the existence of a first-order plasma phase transition (PPT) which ends up at a critical point given by Tc = 15300 K, Pc = 0.614 Mbar, and ρc = 0.35 gem−3. The transition occurs between a weakly ionized phase and a partially ionized (~ 50%) phase.

Type
Reviews
Information
International Astronomical Union Colloquium , Volume 147: The Equation of State in Astrophysics , 1994 , pp. 287 - 305
Copyright
Copyright © Cambridge University Press 1994

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