On Equilibrium Distribution of a Reversible Growth Model |
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Authors: | Vadim Shcherbakov Anatoly Yambartsev |
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Institution: | 1.Department of Mathematical Sciences,Durham University,Durham,UK;2.Institute of Mathematics and Statistics,University of S?o Paulo,S?o Paulo,Brazil |
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Abstract: | We study a probabilistic model of interacting spins indexed by elements of a finite subset of the d-dimensional integer lattice, d≥1. Conditions of time reversibility are examined. It is shown that the model equilibrium distribution converges to a limit distribution as the indexing set expands to the whole lattice. The occupied site percolation problem is solved for the limit distribution. Two models with similar dynamics are also discussed. |
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