Microscopic analog of temperature within nonextensive thermostatistics

TL;DR

This paper introduces a microscopic interpretation of temperature in Tsallis thermostatistics, ensuring classical thermodynamic laws hold within this generalized framework, including the zeroth law, equipartition, and ideal gas law.

Contribution

It provides a novel microscopic definition of temperature in nonextensive thermostatistics that maintains classical thermodynamic principles.

Findings

Zeroth law and equipartition theorem are valid in Tsallis framework.

Ideal gas equation of state retains Boyle's law form.

Microscopic interpretation aligns with classical thermodynamics within nonextensive statistics.

Abstract

It is presented a microscopic interpretation for the temperature within Tsallis thermostatistics, generalizing the classical derivation based on the Boltzmann-Gibbs statistics. It is shown that with this definition the zeroth law and the equipartition theorem are valid in their classical form. Moreover, it is observed that the equation of state for an ideal gas within generalized thermostatistics preserves the classical Boyle's law form $PV=NkT$.