Fluctuation Theorems on Nishimori Line

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.

10 pages, and 1 figure

References in corpus (4)

• Quantum annealing with Jarzynski equality
• Fluctuation relations for equilibrium states with broken discrete symmetries
• Distribution of Lee-Yang zeros and Griffiths singularities in the $\pm J$ model of spin glasses
• Non-equilibrium Relations for Spin Glasses with Gauge Symmetry

Cited by in corpus (5)

• Mathematical understanding of detailed balance condition violation and its application to Langevin dynamics
• Stochastic gradient method with accelerated stochastic dynamics
• Analyticity of the energy in an Ising spin glass with correlated disorder
• Toward mean-field bound for critical temperature on Nishimori line
• Proposal of a Checking Parameter in the Simulated Annealing Method Applied to the Spin Glass Model