Current options for the equation of state of the solar interior

Mathematics

Scientific paper

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Equations Of State, Helioseismology, Solar Interior, Stellar Models, Excitation, Mathematical Models, Partitions (Mathematics), Solar Physics

Scientific paper

Approaches to the equation of state used in helioseismology are discussed. The principal open problem of the equation of state is the number of excited states of hydrogen and helium in the zones of partial ionization. The number of excited states is affected in two ways: first by destruction of the levels due to the (neutral and charged) surrounding species, and second by statistical mechanics which governs the population of the available levels. The two principal philosophies are considered. One is the chemist's view, in which bound systems are interpreted as autonomous species with reactions between each other; the other is the physicist's view, in which a virial expansion of pressure is obtained starting out from fundamental species only (i.e., electrons and nuclei), and in which the so-called Planck-Larkin partition function appears.

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