Thermodynamical properties of stellar matter. I. Equation of state for stellar interiors.

Astronomy and Astrophysics – Astrophysics

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Equation Of State, Plasmas, Stars: Interiors, Stars: Evolution, Stars: Low-Mass, Brown Dwarfs, Stars: White Dwarfs

Scientific paper

Considering the Helmholtz free energy which provides detailed knowledge of the charged many-particle physics, we present an analytical formulation of the equation of state (EOS) for fully ionized matter. The nonideal effects due to exchange and correlation interactions of charged particles are described by Pade approximants, which cover a wide range of densities and temperatures. The formulae are valid at any electron degeneracy, for a very broad region of Coulomb coupling, and are applicable to any chemical mixture. Relativistic generalizations are taken into account for the most predominant astrophysical conditions. Finally, we present results for H, He, C and O plasmas and give comparisons with other EOS approaches.

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