Phase Ordering and Onset of Collective Behavior in Chaotic Coupled Map Lattices

Anael Lemaitre; Hugues Chate

doi:10.1103/PhysRevLett.82.1140

Phase Ordering and Onset of Collective Behavior in Chaotic Coupled Map Lattices

Disordered Systems and Neural Networks 2009-10-31 v1 chao-dyn Statistical Mechanics Chaotic Dynamics

Authors: Anael Lemaitre , Hugues Chate

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Abstract

The phase ordering properties of lattices of band-chaotic maps coupled diffusively with some coupling strength $g$ are studied in order to determine the limit value $g_e$ beyond which multistability disappears and non-trivial collective behavior is observed. The persistence of equivalent discrete spin variables and the characteristic length of the patterns observed scale algebraically with time during phase ordering. The associated exponents vary continuously with $g$ but remain proportional to each other, with a ratio close to that of the time-dependent Ginzburg-Landau equation. The corresponding individual values seem to be recovered in the space-continuous limit.

Keywords

coupled map lattices phase ordering collective behavior band-chaotic maps persistence ginzburg-landau equation

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@article{arxiv.cond-mat/9903018,
  title  = {Phase Ordering and Onset of Collective Behavior in Chaotic Coupled Map Lattices},
  author = {Anael Lemaitre and Hugues Chate},
  journal= {arXiv preprint arXiv:cond-mat/9903018},
  year   = {2009}
}

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4 pages, 5 figures

Phase Ordering and Onset of Collective Behavior in Chaotic Coupled Map Lattices

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