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15 - Strongly coupled ionic mixtures and the H/He equation of state

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Published online by Cambridge University Press:  07 September 2010

H.M. DeWitt
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA 94550
Gilles Chabrier
Affiliation:
Ecole Normale Supérieure, Lyon
Evry Schatzman
Affiliation:
Observatoire de Paris, Meudon
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Summary

Abstract

This paper summarizes recent work on the strongly coupled OCP and Binary Ionic Mixture equation of state and other thermodynamic quantities in white dwarf interior conditions for both fluid and solid phases with the assumption of a uniform background. Conditions for phase separation of different elements in fluid or solid phases is strongly dependent on deviations from the linear mixing rule which gives the equation of state as an additive function of the OCP equation of state. These deviations turn out to be small (a few parts in 105) and always positive including the case where the fraction of the higher Z component approaches 0. Also the equation of state of strongly coupled light elements (H and He particularly) obtained from simulations with a linear response description of the electrons is given for conditions appropriate to brown dwarf star interiors. Recent Livermore work on a band structure calculation of the enthalpy of H and He mixtures under jovian conditions is discussed. This work leads to a prediction of a high temperature (15000 oK) for miscibility of He in ionized H at 10 Mb.

Resume

Ce papier resume l'ouvrage recent sur le OCP à fort couplage et sur l'equation d'état et d'autres quantites thermodynamiques pour le melange binarire ionique aux conditions interieure des nains blancs. Les conditions pour seperation de phae dan les éléments divers dans l'état solide ou fluide sont très sensible aux deviations de regie lineaire qui donne l'equation d'état comme function additive sur celui du OCP.

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The Equation of State in Astrophysics
IAU Colloquium 147
, pp. 330 - 346
Publisher: Cambridge University Press
Print publication year: 1994

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