The equation of state in the chemical picture: A grand-canonical approach. 2: The occupation number of molecules and atoms

Astronomy and Astrophysics – Astrophysics

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Atomic Interactions, Canonical Forms, Equations Of State, Hydrogen Atoms, Hydrogen Ions, Stellar Interiors

Scientific paper

The grand-canonical approach for the equation of state (EOS) in the chemical picture (Paper 1) is used to calculate the occupation numbers of molecules and atoms for a stellar gas. The configurations of molecular hydrogen and negative hydrogen ions, as well as atomic configurations, are included. The occupation probability is incorporated into the EOS formulation to explain pressure ionization of bound atomic configurations and pressure dissociation of molecular configurations. Two solutions of the EOS are found in the region of pressure ionization of HI. This is due to the behavior of positive feedback of the occupation probability for interpreting the perturbation by charged particles. The calculation results indicate that the grand-canonical approach can include both atomic configurations and molecular configurations, and that half the occupation probability incorporated by the approach can produce pressure dissociation and ionization in both neutral and partially ionized gases.

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