Property of Tsallis entropy and principle of entropy increase

TL;DR

This paper investigates the behavior of Tsallis entropy during thermal contact between systems with different temperatures, establishing that it cannot decrease and generalizing the entropy increase principle within nonextensive statistical mechanics.

Contribution

It introduces a generalized inequality for Tsallis entropy change, extending the principle of entropy increase to nonextensive systems.

Findings

Total Tsallis entropy does not decrease after systems reach equilibrium.

Derived a new inequality for Tsallis entropy change.

Generalized the principle of entropy increase for nonextensive systems.

Abstract

The property of Tsallis entropy is examined when considering tow systems with different temperatures to be in contact with each other and to reach the thermal equilibrium. It is verified that the total Tsallis entropy of the two systems cannot decrease after the contact of the systems. We derived an inequality for the change of Tsallis entropy in such an example, which leads to a generalization of the principle of entropy increase in the framework of nonextensive statistical mechanics.