Generalized Gibbs canonical ensemble: A possible physical scenario

TL;DR

This paper explores a generalized Gibbs canonical ensemble, proposing a physical scenario where it naturally arises due to modified energy exchange mechanisms, especially relevant for long-range interacting systems.

Contribution

It introduces a physical scenario where the generalized Gibbs ensemble emerges from altered energy exchange processes, extending the understanding of thermodynamic ensembles.

Findings

Derivation of the thermodynamic uncertainty relation from the generalized ensemble.

Identification of a physical mechanism leading to the generalized ensemble in long-range systems.

Potential implications for the thermodynamics of systems with long-range interactions.

Abstract

After reviewing some fundamental results derived from the introduction of the generalized Gibbs canonical ensemble, such as the called thermodynamic uncertainty relation, it is described a physical scenario where such a generalized ensemble naturally appears as a consequence of a modification of the energetic interchange mechanism between the interest system and its surrounding, which could be relevant within the framework of long-range interacting systems.