Comment on "Is Tsallis Thermodynamics Nonextensive?" by E. Vives and A. Planes [cond-mat/0106428]

TL;DR

This paper defends Tsallis Thermodynamics by showing that the Euler and Gibbs-Duhem equations support its framework without variable changes, addressing recent criticisms through a connection with Hill's Nanothermodynamics.

Contribution

It demonstrates that Tsallis Thermodynamics can be justified using classical thermodynamic equations and Hill's Nanothermodynamics, countering recent critiques.

Findings

Euler and Gibbs-Duhem equations support Tsallis framework

No variable change needed for thermal equilibrium

Addresses and counters recent criticisms

Abstract

We comment on letter ``Is Tsallis Thermodynamics Nonextensive?'' by E. Vives and A. Planes [Phys. Rev. Lett. 88, 020601 (2002) cond-mat/0106428]. It is pointed out that the Euler and Gibbs-Duhem equations derived in the letter can serve to justify an appropriate form for the Lagrange parameters controlling thermal equilibrium, without need of any change of variables. This leads to a framework for Tsallis Thermodynamics which is free from recent criticisms raised by Nauenberg [Phys. Rev. E 67, 036114 (2003) cond-mat/0210561] and Gross [Physica (Amsterdam) 305, 99 (2002) cond-mat/0106496]. This is accomplished through a direct connection with Hill's Nanothermodynamics.