Chandrasekhar condition and Gamow temperature in the generalized Maxwell-Boltzmann distribution

Abstract

This paper investigates the impact of generalized Maxwell-Boltzmann distributions, based on Mittag-Leffler functions, on the Chandrasekhar condition and Gamow temperature in astrophysical systems. Our findings reveal that the maximum allowable radiation pressure at the core of a star with a given mass is not solely determined by the mass itself but also exhibits a nontrivial dependence on the parameter gamma and the fugacity z. Notably, the classical Chandrasekhar condition is recovered in the limit gamma -> 1, validating the consistency of the model. These results offer new insights into the role of generalized statistical mechanics in stellar stability and nuclear reaction thresholds in dense astrophysical environments.