Equivalence of nonadditive entropies and nonadditive energies in long range interacting systems under macroscopic equilibrium

TL;DR

This paper explores the equivalence between nonadditive entropies with additive energies and additive entropies with nonadditive energies in long-range interacting systems at equilibrium, providing a general theoretical framework and an illustrative example.

Contribution

It establishes a theoretical equivalence between nonadditive entropies and nonadditive energies in long-range systems at equilibrium, expanding understanding of thermodynamic descriptions.

Findings

Demonstrates the equivalence between nonadditive entropies and nonadditive energies.

Provides a general theoretical framework for long-range interacting systems.

Includes an illustrative example to clarify the concepts.

Abstract

We discuss that the thermodynamics of composite systems with non-additive entropies and additive energies can be equivalently derived considering additive entropies and non-additive energies. The general discussion is illustrated by a particular example.