Astrophysics

    

Thermal Ionization in Stellar Cores Based on 3-dimensional Fermi Gas Model

Authors: Shiladittya Debnath

This paper examines the thermal ionization in the core of a main-sequence stable star, with an assumption that the main-sequence stellar core behaves like an ideal 3-Dimensional (D) Fermi gas. This assumption has been based on the fact that the stellar core persists as a region of very high temperature, typically in a range between 15 × 106K and density near 150 g cm−3,like that of our Sun where the classical gas description fails and Fermi-Dirac (F-D) distribution becomes important. Finally we compare our ionization equation with the Saha’s thermal ionization equation based on classical Maxwell-Boltzmann (M-B) distribution. The final non-relativistic mathematical calculation provides us with the result that the ionization fraction is exponentially proportional to the Fermi energy and has volume dependency, under the 3-D ideal Fermi gas consideration.

Comments: 5 Pages.

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Submission history

[v1] 2020-09-14 10:28:58

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