Coupled map lattices with phase transition

DOI10.1088/0951-7715/13/3/320zbMath0958.82033OpenAlexW2009952190MaRDI QIDQ4494876

Guy Gielis, Robert S. MacKay

Publication date: 9 August 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/3/320

zbMATH Keywords

coupled map latticesGibbs stateprobabilistic cellular automataexistence of phase transitions

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamical aspects of statistical mechanics (37A60)

Related Items (14)

Mean-field coupling of identical expanding circle maps ⋮ Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension ⋮ Symmetry breaking in a globally coupled map of four sites ⋮ Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps ⋮ Toom's model with Glauber rates: An exact solution using elementary methods ⋮ Synchronization for networks of globally coupled maps in the thermodynamic limit ⋮ Mean-field coupled systems and self-consistent transfer operators: a review ⋮ TOOLS FOR NETWORK DYNAMICS ⋮ Symbolic dynamics of two coupled Lorenz maps: from uncoupled regime to synchronisation ⋮ Extensive bounds on the topological entropy of repellers in piecewise expanding coupled map lattices ⋮ Breaking of ergodicity in expanding systems of globally coupled piecewise affine circle maps ⋮ Phase transition and correlation decay in coupled map lattices ⋮ Computer-assisted proof of loss of ergodicity by symmetry breaking in expanding coupled maps ⋮ Phase diagrams of majority voter probabilistic cellular automata

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