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Crystallization of Dense Binary Ionic Mixtures Application to White Dwarf Cooling Theory

Published online by Cambridge University Press:  12 April 2016

R. Mochkovitch  and
L. Segretain
R. Mochkovitch
Affiliation:
Institut d’Astrophysique de Paris, 75014 Paris, France
L. Segretain
Affiliation:
Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 69364 Lyon Cedex 07,France

Abstract

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This paper is organized in two parts. First, phase diagrams for dense binary mixtures are computed with the density functional theory (DFT). The method of calculation is reviewed and the different approximations which are used are clearly stated. The DFT is then applied to several mixtures of astrophysical interest. A comparison is made between several existing phase diagrams and the origin of some discrepancies among them is discussed. In a second part, the consequences of these phase diagrams on the cooling of white dwarfs are presented in a pedagogical way starting from the simple Mestel theory. The importance of the partial separation of carbon and oxygen at crystallisation is emphasized and the possible effect of minor species such as 22Ne or Fe is also considered. The separation of carbon and oxygen adds 1 – 2 Gyr to age of the galactic disk estimated from the white dwarf luminosity function while the delay resulting from the presence of minor species is probably negligible when the chemical evolution of the Galaxy is properly taken into account.

Type
Reviews
Information
International Astronomical Union Colloquium , Volume 147: The Equation of State in Astrophysics , 1994 , pp. 126 - 143
Copyright
Copyright © Cambridge University Press 1994

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