Inferring degree of nonextensivity for generalized entropies

TL;DR

This paper discusses the different origins of nonextensivity in Tsallis distribution and Tsallis entropy, clarifying conceptual distinctions in generalized entropy frameworks.

Contribution

It highlights that the degree of nonextensivity from Tsallis distribution differs fundamentally from that inferred via pseudo-additivity of Tsallis entropy.

Findings

Nonextensivity in Tsallis distribution has a different origin than in Tsallis entropy.

Clarifies conceptual differences in generalized entropy theories.

Abstract

The purpose of this note is to argue that degree of nonextensivity as given by Tsallis distribution obtained from maximum entropy principle has a different origin than nonextensivity inferred from pseudo-additive property of Tsallis entropy.