Monte-Carlo simulations of the violation of the fluctuation-dissipation theorem in domain growth processes

TL;DR

This paper uses Monte-Carlo simulations to study how the fluctuation-dissipation theorem is violated during domain growth, confirming theoretical predictions about the FDT parameter in aging systems.

Contribution

It provides numerical evidence for the behavior of the FDT violation parameter in domain growth, aligning with mean-field model predictions.

Findings

FDT parameter equals one in quasi-equilibrium regime

FDT parameter equals zero in aging regime

Simulation results match theoretical mean-field model predictions

Abstract

Numerical simulations of various domain growth systems are reported, in order to compute the parameter describing the violation of fluctuation dissipation theorem (FDT) in aging phenomena. We compute two-times correlation and response functions and find that, as expected from the exact solution of a certain mean-field model (equivalent to the O(N) model in three dimensions, in the limit of N going to infinity), this parameter is equal to one (no violation of FDT) in the quasi-equilibrium regime (short separation of times), and zero in the aging regime.