Ageing in disordered magnets and local scale-invariance

TL;DR

This paper investigates the ageing dynamics of a disordered 2D Ising model below its critical temperature, demonstrating that the thermoremanent magnetization's scaling function aligns with local scale-invariance theory.

Contribution

It provides the first detailed analysis of ageing exponents and confirms the applicability of local scale-invariance to disordered magnetic systems.

Findings

Ageing exponents are quantitatively determined.

The TRM scaling function matches local scale-invariance predictions.

Disordered magnets exhibit universal ageing behavior.

Abstract

The ageing of the bond-disordered two-dimensional Ising model quenched to below its critical point is studied through the two-time autocorrelator and thermoremanent magnetization (TRM). The corresponding ageing exponents are determined. The form of the scaling function of the TRM is well described by the theory of local scale-invariance.