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12 - Equation of state of dense hydrogen and the plasma phase transition; A microscopic calculational model for complex fluids

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Published online by Cambridge University Press:  07 September 2010

F. Perrot
Affiliation:
Centre d'Etudes de Limeil-Valenton 94195 Villeneuve St. Georges CEDEX, France
C. Dharma-Wardana
Affiliation:
Institute for Microstructural Sciences National Research Council of Canada Ottawa, Canada, KIA 0R6
Gilles Chabrier
Affiliation:
Ecole Normale Supérieure, Lyon
Evry Schatzman
Affiliation:
Observatoire de Paris, Meudon
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Summary

Abstract

We discuss problems related to the electronic and ionic structure of fluid Hydrogen, for equation of state calculations in the domain where a “plasma phase transition” (PPT) may occur. It is argued that the ionization of an electron bound to a particular nucleus proceeds through a progressive delocalization involving “hopping” electron states (i.e. cluster states). A description of the plasma containing pseudoatoms, pseudomolecules and free electrons is proposed. The PPT, if it exists, might be a mobility edge transition across a percolation threshold. It is shown how the effect of electron density, field-particle distributions and temperature on the binding energy of these pseudoatoms and pseudomolecules, can be included. Finally the abundances of these objects is determined by a minimization which allows the self-consistent optimization of ionic as well as electronic parameters contributing to the total free energy.

On discute les problèmes associés à la structure electronique et ionique de l'Hydrogène en phase fluide, en vue de calculs d'équation d'état dans le domaine d'une éventuelle transition de phase vers l'état de plasma (TPP). L'argument essentiel est que l'ionization d'un électron lié attaché à un atome se produit par une délocalisation progressive mettant en jeu des “états de grappe” (cluster states). La TPP pourrait être une transition de la mobilité se produisant au seuil de percolation. On propose une description du plasma où “pseudoatomes”, “pseudomolécules” et électrons libres coexistent.

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The Equation of State in Astrophysics
IAU Colloquium 147
, pp. 272 - 286
Publisher: Cambridge University Press
Print publication year: 1994

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