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22 November 2019
 
  » arxiv » cond-mat/0502271

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Dynamic Heterogeneity in the Glauber-Ising chain
Peter Mayer ; Peter Sollich ; Ludovic Berthier ; Juan P. Garrahan ;
Date 10 Feb 2005
Journal J. Stat. Mech. (2005) P05002 DOI: 10.1088/1742-5468/2005/05/P05002
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractIn 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.
Source arXiv, cond-mat/0502271
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