Critical dynamics of a pinned elastic medium in two and three dimensions: A model for charge-density waves

Abstract

We study numerically the dynamical equilibrium behavior for the uniformly driven, elastic model of Fukuyama, Lee, and Rice for pinned charge-density waves, in the critical region close to the threshold field for sliding, in two and three dimensions. We obtain a critical exponent for the mean velocity in good agreement with recent experiments, and scaling for the velocity correlation function, from which we extract a diverging correlation length. The correlation-length exponent ν is found to be less than 2/d (d is dimension), suggesting unusual critical behavior for this model.