Two-spin-majority cellular automaton as a model of 2D cluster and interface growth |
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| Authors: | B. Hede V. Privman |
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| Affiliation: | (1) Höchstleistungsrechenzentrum, KFA Jülich, D-5170 Jülich 1, Germany;(2) Present address: Physics Department, Mount Allison University, E0A 3CO Sackville, New Brunswick, Canada;(3) Department of Physics, Clarkson University, 13699-5820 Potsdam, New York |
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| 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,t1/2, law. |
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| Keywords: | Cluster size scaling cellular automata interfacial dynamics phase separation |
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