Dynamical response function of the disordered kinetic Ising model

TL;DR

This paper investigates the dynamical response of the disordered kinetic Ising model, challenging previous findings and proposing an alternative approach that aligns better with numerical simulations.

Contribution

It identifies limitations of local scale invariance in disordered systems and introduces an improved theoretical framework for response functions.

Findings

Previous models did not fully match numerical results.

The new approach significantly improves agreement with simulations.

Challenges the applicability of local scale invariance for disordered systems.

Abstract

Recently Baumann et al. [arXiv:0709.3228v1] studied the phase-ordering kinetics of the two-dimensional Ising model with uniform spatially quenched disorder by Monte-Carlo simulations. They found that the two-time response and correlation functions are in agreement with the predictions of local scale invariance generalised to z!=2. The present paper shows why this is not true and suggests an alternative approach which leads to a much better agreement with the numerical results.