Formal equivalence between Tsallis and extended Boltzmann-Gibbs statistics

TL;DR

This paper establishes a formal equivalence between Tsallis and extended Boltzmann-Gibbs statistics, linking non-Maxwellian distributions to a generalized entropy framework.

Contribution

It provides a mathematical correspondence showing how Tsallis q-distributions relate to extended Boltzmann-Gibbs distributions.

Findings

Demonstrates formal equivalence between two statistical frameworks

Bridges Tsallis and Boltzmann-Gibbs entropy-based distributions

Offers insights into non-Maxwellian distribution modeling

Abstract

A formal correspondence between the q-distribution obtained from the Tsallis entropy and non-maxwellian distributions obtained from the Boltzmann-Gibbs entropy is afforded.