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

Gregory Schehr·Pierre Le Doussal
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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 ($θ=0$) 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 $T$.

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Gregory Schehr, Pierre Le Doussal. 2004-08-05. Aging in the glass phase of a 2D random periodic elastic system. https://doi.org/10.1103/physrevlett.93.217201

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