Thermodynamic potentials and Thermodynamic Relations in Nonextensive Thermodynamics

TL;DR

This paper extends thermodynamic potentials and relations within nonextensive thermodynamics, deriving generalized Gibbs free energy and enthalpy using physical temperature and pressure, and analyzing their implications for heat capacities.

Contribution

It introduces generalized thermodynamic potentials in nonextensive thermodynamics and explores their impact on thermodynamic relations and heat capacities.

Findings

Generalized Gibbs free energy and enthalpy derived using physical temperature and pressure.

Thermodynamic relations are modified considering the difference between physical temperature and Lagrange multiplier inverse.

Expressions for heat capacities remain unchanged despite the generalized potentials.

Abstract

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the difference between the physical temperature and the inverse of Lagrange multiplier. The thermodynamical relation between the heat capacities at a constant volume and at a constant pressure is obtained using the generalized thermodynamical potential, which is found to be different from the traditional one in Gibbs thermodynamics. But, the expressions for the heat capacities using the generalized thermodynamical potentials are unchanged.