Local scale-invariance in disordered systems
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Dynamical scaling and ageing in disordered systems far from equilibrium is reviewed. Particular attention is devoted to the question to what extent a recently introduced generalization of dynamical scaling to local scale-invariance can describe data for either non-glassy systems quenched to below or else for spin glasses at criticality. The dependence of the scaling behaviour on the distribution of the random couplings is discussed. It is shown that finite-time corrections to scaling can become quite sizable in these systems. Numerically determined ageing quantities are confronted with available experimental results.
Cite
@article{arxiv.cond-mat/0703466,
title = {Local scale-invariance in disordered systems},
author = {Malte Henkel and Michel Pleimling},
journal= {arXiv preprint arXiv:cond-mat/0703466},
year = {2007}
}
Comments
invited review, submitted to Springer Lecture Notes in Physics (www.springeronline.com/series/5304), 37 pages, 10 figures