Phase-ordering kinetics of two-dimensional disordered Ising models
Statistical Mechanics
2007-09-21 v1 Disordered Systems and Neural Networks
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform disorder is investigated by intensive Monte Carlo simulations. Taking into account finite-time corrections to scaling, simple ageing behaviour is observed in the two-time responses and correlators. The dynamical exponent z and the form of the scaling functions only depend on the ratio eps/T, where eps describes the width of the distribution of the disorder. The agreement of the predictions of local scale-invariance generalised to z<> 2 for the two-time scaling functions of response and correlations with the numerical data provides a direct test of generalised Galilei-invariance.
Cite
@article{arxiv.0709.3228,
title = {Phase-ordering kinetics of two-dimensional disordered Ising models},
author = {Florian Baumann and Malte Henkel and Michel Pleimling},
journal= {arXiv preprint arXiv:0709.3228},
year = {2007}
}
Comments
Latex2e with epl macros, 6 pages, 4 figures included