Abstract
A new probabilistic cellular automaton model is introduced to simulate cluster and interface growth in two dimensions. The dynamics of this model is an extension to higher dimensions of the compact directed percolation studied by Essam. Numerical results indicate that the two-dimensional cluster coarsening and growth can be described only approximately by the conventional cluster size scaling due to a crossover in the growth mode. The spreading of the initially flat interface follows a purely diffusional,t 1/2, law.
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Hede, B., Privman, V. Two-spin-majority cellular automaton as a model of 2D cluster and interface growth. J Stat Phys 65, 379–385 (1991). https://doi.org/10.1007/BF01329866
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DOI: https://doi.org/10.1007/BF01329866