# Autocorrelation functions in phase-ordering kinetics from local scale-invariance

Source: [Autocorrelation functions in phase-ordering kinetics from local scale-invariance](<https://www.sota2.com/research/paper/68fa2a111e209131ce839c51>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T13:18:07.671Z

Authors: Malte Henkel, Florian Baumann

Published: 2007-03-08T22:02:23.000Z

## Abstract

The explicit calculation of the scaling form of the two-time autocorrelation function in phase-ordering kinetics and in those cases of non-equilibrium critical dynamics where the dynamical exponent z=2 through the extension of dynamical scaling to local scale-invariance is reviewed. Conceptually, this mainly requires an extension from the usually considered d-dimensional ageing or Schr\\"odinger algebras to a new kind of representation of the conformal algebra in d+2 dimensions. Explicit tests in several exactly solved models of simple magnets and through simulations in the 2D Ising and q-states Potts models (q=2,3,8) quenched to T\<T\_c are presented and the extension to systems with non-equilibrium steady-states is discussed through two exactly solvable models as well. In the context of surface growth models, possible generalizations for a dynamical exponent z=4 and beyond are discussed.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0703226>)

[PDF](<https://arxiv.org/pdf/cond-mat/0703226.pdf>)