Work distributions in the T=0 Random Field Ising Model

TL;DR

This study investigates the applicability of the Crooks fluctuation theorem at zero temperature in the 3D Random Field Ising Model by comparing work and energy distributions along different trajectories.

Contribution

It demonstrates that a straightforward extension of Crooks' theorem does not hold near the phase transition due to asymmetries in the distributions.

Findings

Work and energy distributions are asymmetric near the phase transition.

Standard Crooks extension fails close to the transition.

Disorder influences fluctuation relations at T=0.

Abstract

We perform a numerical study of the three-dimensional Random Field Ising Model at T=0. We compare work distributions along metastable trajectories obtained with the single-spin flip dynamics with the distribution of the internal energy change along equilibrium trajectories. The goal is to investigate the possibility of extending the Crooks fluctuation theorem to zero temperature when, instead of the standard ensemble statistics, one considers the ensemble generated by the quenched disorder. We show that a simple extension of Crooks fails close to the disordered induced equilibrium phase transition due to the fact that work and internal energy distributions are very asymmetric.