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TL;DR

This paper refutes the idea that non-extensive statistical mechanics is applicable to inhomogeneous systems with short-range interactions, affirming that traditional Boltzmann-Gibbs mechanics suffices for their description.

Contribution

It clarifies the applicability of Boltzmann-Gibbs versus non-extensive statistical mechanics for certain particle systems, countering recent claims.

Findings

Non-extensive mechanics is not relevant for these systems.

Boltzmann-Gibbs mechanics adequately describes the systems.

The paper provides theoretical clarification on statistical mechanics applicability.

Abstract

We argue that contrary to recent suggestions, non-extensive statistical mechanics has no relevance for inhomogeneous systems of particles interacting by short-range potentials. We show that these systems are perfectly well described by the usual Boltzmann-Gibbs statistical mechanics.