Scaling relations in equilibrium nonextensive thermostatistics

TL;DR

This paper clarifies the principles behind Tsallis' scaling relations in equilibrium nonextensive thermostatistics, extending thermodynamic relations to systems with long-range interactions and providing a new interpretation of thermodynamic entities.

Contribution

It demonstrates that classical thermodynamic relations like Euler and Gibbs-Duhem hold for nonextensive systems, offering a novel interpretation within Tsallis' framework.

Findings

Euler and Gibbs-Duhem relations apply to nonextensive systems

Provides a new interpretation of thermodynamic entities in nonextensive systems

Clarifies the principles of Tsallis' scaling relations

Abstract

The forms of Euler and Gibbs-Duhem relations discussed in thermodynamics of extensive systems are shown to hold also for nonextensive systems with long-range interactions with a novel interpretation of entities appearing therein. In this way, the principles underlying Tsallis' scaling relations in equilibrium nonextensive thermostatistics are clarified.