Astrophysical Thermonuclear Functions for Boltzmann-Gibbs Statistics and Tsallis Statistics

TL;DR

This paper analytically derives integrals for astrophysical thermonuclear functions within Boltzmann-Gibbs and Tsallis statistics, highlighting the relevance of q-statistics for functions with depleted high-energy tails.

Contribution

It provides an analytic proof of thermonuclear function integrals and interprets functions with high-energy cut-offs using Tsallis q-statistics.

Findings

Analytic expressions for thermonuclear functions derived.

q-statistics naturally describes functions with high-energy depletion.

Bridges Boltzmann-Gibbs and Tsallis frameworks in astrophysics.

Abstract

We present an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann-Gibbs statistical mechanics. Among the four different cases of astrophysical thermonuclear functions, those with a depleted high-energy tail and a cut-off at high energies find a natural interpretation in q-statistics.