Intensive variables in the framework of the non-extensive thermostatistics

TL;DR

This paper reexamines the definitions of temperature and pressure within non-extensive thermostatistics, emphasizing their dependence on the entropy and energy composition laws, and clarifies issues related to intensive variables in this framework.

Contribution

It introduces a consistent approach to defining intensive variables in non-extensive thermodynamics based on the composition laws of entropy and energy.

Findings

Definitions of temperature and pressure depend on the composition law

Clarifies the role of intensive variables in non-extensive systems

Provides a framework consistent with the zeroth law of thermodynamics

Abstract

By assuming an appropriate energy composition law between two systems governed by the same non-extensive entropy, we revisit the definitions of temperature and pressure, arising from the zeroth principle of thermodynamics, in a manner consistent with the thermostatistics structure of the theory. We show that the definitions of these quantities are sensitive to the composition law of entropy and internal energy governing the system. In this way, we can clarify some questions raised about the possible introduction of intensive variables in the context of non-extensive statistical mechanics.