Aging in the glass phase of a 2D random periodic elastic system

TL;DR

This paper uses renormalization group analysis to study the aging and non-equilibrium dynamics of a 2D random Sine-Gordon model, revealing universal scaling behaviors and a non-trivial fluctuation dissipation ratio near the glass transition.

Contribution

It provides the first detailed analysis of aging dynamics and universal scaling functions in the 2D random Sine-Gordon model using RG methods.

Findings

Universal scaling functions for response and correlations near T_g

Non-trivial, temperature-dependent fluctuation dissipation ratio

Identification of aging behavior in the glass phase

Abstract

Using RG we investigate the non-equilibrium relaxation of the (Cardy-Ostlund) 2D random Sine-Gordon model, which describes pinned arrays of lines. Its statics exhibits a marginal ($\theta=0$) glass phase for $T<T_g$ described by a line of fixed points. We obtain the universal scaling functions for two-time dynamical response and correlations near $T_g$ for various initial conditions, as well as the autocorrelation exponent. The fluctuation dissipation ratio is found to be non-trivial and continuously dependent on $T$.