Superuniversality in phase-ordering disordered ferromagnets
Abstract
The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform bond disorder is investigated by intensive Monte Carlo simulations. Simple ageing behaviour is observed in the single-time correlator and the two-time responses and correlators. The dynamical exponent z and the autocorrelation exponent lambda_C only depend on the ratio eps/T, where eps describes the width of the distribution of the disorder, whereas a more complicated behaviour is found for the non-equilibrium exponent a of the two-time response as well as for the autoresponse exponent lambda_R. The scaling functions are observed to depend only on the dimensionless ratio eps/T. If the length scales are measured in terms of the time-dependent domain size L(t), the form of the scaling functions is in general independent of both eps and T. Conditions limiting the validity of this `superuniversality' are discussed.
Cite
@article{arxiv.0807.1485,
title = {Superuniversality in phase-ordering disordered ferromagnets},
author = {Malte Henkel and Michel Pleimling},
journal= {arXiv preprint arXiv:0807.1485},
year = {2009}
}
Comments
Latex2e, 10pp with 8 figures included, PR macros