Stellar structure with a Boltzmann factor - an extension to chemically heterogeneous H-He-stars

Astronomy and Astrophysics – Astrophysics

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B Stars, Boltzmann Distribution, Chemical Composition, Stellar Models, Stellar Structure, Helium, Hydrogen, Stellar Mass

Scientific paper

The authors present an attempt for an extension of the modified Boltzmann model, which was introduced by Callebaut et al. (1982) as an improvement of the polytropic models, to the case of chemically-heterogeneous stars in equilibrium, containing H and He, by proposing a density profile of the form ρ = C1TNexp(-μHm(φ-φ*)/kT)+ C2TNexp(-μHem(φ-φ*)/kT). Analytical properties are derived and numerical as well as analytical arguments are presented for the conclusion that this hypothesis for a density profile imposes an almost constant chemical profile to the model as a whole, thereby making it in this form unsuited for the study of heterogeneous stars. A comparison is made with the former Boltzmann model in the homogeneous limit.

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