Local scale-invariance in ageing phenomena

TL;DR

This paper explores local scale-invariance as a dynamical symmetry in ageing phenomena of materials, deriving scaling functions for correlation and response functions, and validating them against models like the kinetic Glauber-Ising model.

Contribution

It introduces a new form of local scale-invariance applicable to ageing systems and determines the associated scaling functions for ferromagnets.

Findings

Scaling functions match analytical and numerical results

Validates local scale-invariance in 2D and 3D models

Supports the theoretical framework with model comparisons

Abstract

Many materials quenched into their ordered phase undergo ageing and there show dynamical scaling. For any given dynamical exponent z, this can be extended to a new form of local scale-invariance which acts as a dynamical symmetry. The scaling functions of the two-time correlation and response functions of ferromagnets with a non-conserved order parameter are determined. These results are in agreement with analytical and numerical studies of various models, especially the kinetic Glauber-Ising model in 2 and 3 dimensions.