Kinetic Ising cellular automata models in one dimension
- 7 June 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (11) , 2147-2156
- https://doi.org/10.1088/0305-4470/23/11/035
Abstract
For cellular automata versions of Glauber and Metropolis kinetic Ising models in one dimension the critical and domain growth dynamical exponents, Zcr and Zdg are shown to coincide if the dynamical scaling assumption holds. Computer simulations presented yield Zdg=Zcr equal to 2 and 1, respectively, for the Glauber and Metropolis models with checkerboard updating. The latter model with its faster relaxation is suggested as an algorithm superior to the usual Monte Carlo ones.Keywords
This publication has 14 references indexed in Scilit:
- Universality classes for deterministic surface growthPhysical Review A, 1988
- Pattern formation in reversible cellular automataJournal of Physics A: General Physics, 1986
- Annihilation kinetics in the one-dimensional ideal gasPhysical Review A, 1985
- Equivalence of Cellular Automata to Ising Models and Directed PercolationPhysical Review Letters, 1984
- Invariant in cellular automataJournal of Physics A: General Physics, 1984
- Kinetics of Domain Growth in Two DimensionsPhysical Review Letters, 1983
- A microscopic theory for antiphase boundary motion and its application to antiphase domain coarseningActa Metallurgica, 1979
- Theory for the Slowing Down of the Relaxation and Spinodal Decomposition of Binary MixturesPhysical Review Letters, 1974
- Generalization of Scaling Laws to Dynamical Properties of a System Near its Critical PointPhysical Review Letters, 1967
- Dispersion in Second Sound and Anomalous Heat Conduction at the Lambda Point of Liquid HeliumPhysical Review Letters, 1967