Fluctuation Theorems on Nishimori Line

TL;DR

This paper derives fluctuation theorems for spin glasses with gauge symmetry, revealing new relations for work distribution and free energy that deepen understanding of phase transitions in these complex systems.

Contribution

It introduces fluctuation theorems specific to spin glasses with gauge symmetry, connecting work and free energy distributions with phase transition insights.

Findings

Derived fluctuation theorem for work in spin glasses

Established relation between free energy distribution and phase transition

Reproduced Jarzynski-type equation for spin glasses

Abstract

The distribution of the performed work for spin glasses with gauge symmetry is considered. With the aid of the gauge symmetry, which leads to the exact/rigorous results in spin glasses, we find a fascinating relation of the performed work as the fluctuation theorem. The integral form of the resultant relation reproduces the Jarzynski-type equation for spin glasses we have obtained. We show that similar relations can be established not only for the distribution of the performed work but also that of the free energy of spin glasses with gauge symmetry, which provides another interpretation of the phase transition in spin glasses.