The Gibbs paradox revisited from the fluctuation theorem with absolute irreversibility

TL;DR

This paper links Gibbs's entropy correction to the fluctuation theorem with absolute irreversibility, providing a new perspective on the Gibbs paradox in thermodynamics.

Contribution

It demonstrates the equivalence between Gibbs's entropy factor and the fluctuation theorem with absolute irreversibility in gas mixing.

Findings

Gibbs's entropy factor corresponds to the fluctuation theorem with absolute irreversibility.

Provides a new theoretical understanding of the Gibbs paradox.

Connects thermodynamic entropy with fluctuation theorems.

Abstract

The inclusion of the factor $\ln (1/N!)$ in the thermodynamic entropy proposed by Gibbs is shown to be equivalent to the validity of the fluctuation theorem with absolute irreversibility for gas mixing.