Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics

TL;DR

This paper demonstrates that local scale invariance accurately describes the space-time scaling behavior in phase-ordering kinetics of Ising models, extending the concept of dynamical scaling to include a broader symmetry.

Contribution

It provides evidence that local scale invariance acts as a dynamical space-time symmetry in phase-ordering kinetics, supported by simulation results.

Findings

Scaling functions match local scale invariance predictions

Validates local scale invariance as a symmetry in coarsening systems

Extends dynamical scaling to space-time dynamical symmetry

Abstract

The scaling of the spatio-temporal response of coarsening systems is studied through simulations of the 2D and 3D Ising model with Glauber dynamics. The scaling functions agree with the prediction of local scale invariance, extending dynamical scaling to a space-time dynamical symmetry.