Toom's model with Glauber rates: An exact solution using elementary methods

DOI10.1007/s10955-010-9973-0zbMath1205.82101OpenAlexW2128471905MaRDI QIDQ612010

Wolfram Just

Publication date: 3 January 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-010-9973-0

zbMATH Keywords

nonequilibrium phase transitionprobabilistic cellular automata

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Cellular automata (computational aspects) (68Q80) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamic critical phenomena in statistical mechanics (82C27)

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Cites Work

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• Can the Ising critical behaviour survive in non-equilibrium synchronous cellular automata?
• From equilibrium spin models to probabilistic cellular automata
• Statistical mechanics of probabilistic cellular automata.
• Universality classes in nonequilibrium lattice systems
• Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling
• Equivalence of Cellular Automata to Ising Models and Directed Percolation
• Coupled map lattices with phase transition
• Crystal Statistics of a Two-Dimensional Triangular Ising Lattice

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