The unique non self-referential q-canonical distribution and the physical temperature derived from the maximum entropy principle in Tsallis statistics

TL;DR

This paper reformulates the maximum entropy principle in Tsallis statistics using the q-product, leading to a unique non self-referential q-canonical distribution and deriving the physical temperature consistent with the generalized zeroth law.

Contribution

It introduces a novel formalism based on the q-product that yields a unique non self-referential q-canonical distribution and derives the physical temperature within Tsallis statistics.

Findings

Derived the unique non self-referential q-canonical distribution.

Established the physical temperature consistent with the generalized zeroth law.

Reformulated the maximum entropy principle in Tsallis statistics.

Abstract

The maximum entropy principle in Tsallis statistics is reformulated in the mathematical framework of the q-product, which results in the unique non self-referential q-canonical distribution. As one of the applications of the present formalism, we theoretically derive the physical temperature which coincides with that already obtained in accordance with the generalized zeroth law of thermodynamics.