Dynamical space-time symmetry for ageing far from equilibrium

TL;DR

This paper explores how local scale invariance extends the understanding of ageing ferromagnetic systems' dynamics, providing new theoretical predictions for response functions and embedding symmetries, with numerical confirmation in specific models.

Contribution

It introduces a generalized local scale invariance framework for ageing systems and discusses a novel embedding of the Schrödinger group into the conformal group for z=2.

Findings

Prediction of the two-time response function based on local scale invariance

Numerical confirmation in the Glauber-Ising model quenched into the ordered phase

Discussion of symmetry embedding for dynamical exponent z=2

Abstract

The dynamical scaling of ageing ferromagnetic systems can be generalized to a local scale invariance. This yields a prediction for the causal two-time response function, which has been numerically confirmed in the Glauber-Ising model quenched into the ordered phase. For a dynamical exponent z=2, a new embedding of the Schr\"odinger group into the conformal group and the resulting conditions for the validity of local scale invariance are discussed.