Aging Dynamics of an Elastic String Diffusing in a Disordered Media

TL;DR

This study uses Monte Carlo simulations to investigate aging effects in an elastic string diffusing through disordered media, revealing complex aging behaviors and deviations from mean-field theory predictions.

Contribution

First numerical evidence of non-trivial aging effects in a diffusing elastic string within disordered media, highlighting differences from traditional mean-field theory.

Findings

Convincing evidence of aging in response and correlation functions

Differences observed from mean-field theory predictions

Revealed complex aging dynamics in elastic string diffusion

Abstract

The aging effects of a 'diffusing glass', a single elastic string diffusing in a two-dimensional disordered media assisted by thermal noise are studied by Monte Carlo (MC) simulations. We find for the first time convincing numerical evidence of non-trivial aging effects both in the linear response against transverse force and the associated correlation function. Our results retain some important predictions of the conventional dynamical mean-field theory (MFT) but also reveal remarkable differences from it.