Local scale-invariance in disordered systems

TL;DR

This paper reviews dynamical scaling and ageing in disordered systems, exploring how local scale-invariance can describe their non-equilibrium behavior, with emphasis on different types of disordered systems and the impact of coupling distributions.

Contribution

It investigates the applicability of local scale-invariance to disordered systems, including non-glassy and spin glass systems, and discusses finite-time corrections and experimental comparisons.

Findings

Local scale-invariance can describe some ageing phenomena in disordered systems.

Finite-time corrections to scaling are significant in these systems.

Numerical results align with experimental data in certain cases.

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 $T_c$ 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.