The adiabatic static linear response function in nonextensive statistical mechanics

TL;DR

This paper revises the adiabatic static linear response function in nonextensive statistical mechanics using the third energy constraint, establishing its relationship with the isothermal response.

Contribution

It introduces a revised adiabatic response function based on the third energy constraint and explores its connection to the isothermal response in nonextensive systems.

Findings

Derived the adiabatic static linear response function under adiabatic conditions.

Established the relationship between isothermal and adiabatic response functions.

Clarified the role of the third energy constraint in nonextensive statistical mechanics.

Abstract

We analyze the difference between the three generations of the energy constraint in nonextensive statistical mechanics. Using the third generation of the energy constraint, we revise the isothermal static linear response function and then derive the adiabatic static linear response function under the adiabatic condition. We present the relationship between the isothermal and adiabatic linear response functions.