Heat fluctuations in Ising models coupled with two different heat baths

TL;DR

This study uses Monte Carlo simulations to verify a fluctuation relation for heat exchange in Ising models coupled to two heat baths at different temperatures, across various dynamics and conditions.

Contribution

It demonstrates the validity of the fluctuation relation in diverse settings and analyzes finite-time corrections with a scaling behavior.

Findings

Fluctuation relation holds in large time limit for all cases.

Finite-time corrections follow a specific scaling behavior.

Verification across different dynamics and temperature phases.

Abstract

Monte Carlo simulations of Ising models coupled to heat baths at two different temperatures are used to study a fluctuation relation for the heat exchanged between the two thermostats in a time $\tau$. Different kinetics (single--spin--flip or spin--exchange Kawasaki dynamics), transition rates (Glauber or Metropolis), and couplings between the system and the thermostats have been considered. In every case the fluctuation relation is verified in the large $\tau $ limit, both in the disordered and in the low temperature phase. Finite-$\tau$ corrections are shown to obey a scaling behavior.