Corrections to local scale invariance in the non-equilibrium dynamics of critical systems: numerical evidences

TL;DR

This paper investigates the validity of local scale invariance (LSI) in non-equilibrium critical systems, revealing deviations from LSI predictions through Monte Carlo simulations, thus questioning its universal applicability.

Contribution

The study provides numerical evidence showing deviations from LSI predictions in critical Ising models, challenging previous assumptions of LSI's universality in critical dynamics.

Findings

Deviations from LSI predictions in 2D and 3D Ising models

Qualitative agreement with field-theoretical computations of deviations

Questions about the universal applicability of LSI in critical systems

Abstract

Local scale invariance (LSI) has been recently proposed as a possible extension of the dynamical scaling in systems at the critical point and during phase ordering. LSI has been applied inter alia to provide predictions for the scaling properties of the response function of non-equilibrium critical systems in the aging regime following a quench from the high-temperature phase to the critical point. These predictions have been confirmed by Monte Carlo simulations and analytical results for some specific models, but they are in disagreement with field-theoretical predictions. By means of Monte Carlo simulations of the critical two- and three-dimensional Ising model with Glauber dynamics, we study the intermediate integrated response, finding deviations from the corresponding LSI predictions that are in qualitative agreement with the field-theoretical computations. This result casts some doubts on the general applicability of LSI to critical dynamics.