Dynamic Heterogeneity in the Glauber-Ising chain

Details Dynamic Heterogeneity in the Glauber-Ising chain Dynamic Heterogeneity in the Glauber-Ising chain

2005-02-10

arxiv.org/abs/cond-mat/0502271v1

J. Stat. Mech. (2005) P05002

Physics

Condensed Matter

Statistical Mechanics

18 pages, 4 figures

Scientific paper

10.1088/1742-5468/2005/05/P05002

In a recent paper [P. Mayer et al., Phys. Rev. Lett. 93, 115701 (2004)] it was shown, by means of experiments, theory and simulations, that coarsening systems display dynamic heterogeneity analogous to that of glass formers. Here, we present a detailed analysis of dynamic heterogeneities in the Glauber-Ising chain. We discuss how dynamic heterogeneity in Ising systems must be measured through connected multi-point correlation functions. We show that in the coarsening regime of the Ising chain these multi-point functions reveal the growth of spatial correlations in the dynamics, beyond what can be inferred from standard two-point correlations. They have non-trivial scaling properties, which we interpret in terms of the diffusion-annihilation dynamics of domain walls. In the equilibrium dynamics of the Ising chain, on the other hand, connected multi-point functions vanish exactly and dynamic heterogeneity is not observed. Our results highlight the similarities between coarsening systems and glass formers.

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