From dynamical systems to statistical mechanics: the case of the fluctuation theorem

TL;DR

This paper discusses the connection between dynamical systems and statistical mechanics through the lens of the fluctuation theorem, highlighting its significance in understanding nonequilibrium phenomena.

Contribution

It provides a conceptual overview linking dynamical systems theory to statistical mechanics via the fluctuation theorem, emphasizing its foundational role.

Findings

Clarifies the theoretical relationship between dynamical systems and statistical mechanics.

Highlights the importance of the fluctuation theorem in nonequilibrium physics.

Connects historical developments with modern understanding of fluctuation relations.

Abstract

This viewpoint relates to an article by Jorge Kurchan (1998 J. Phys. A: Math. Gen. 31, 3719) as part of a series of commentaries celebrating the most influential papers published in the J. Phys. series, which is celebrating its 50th anniversary.