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The phase transition of triplet reaction-diffusion models

Geza Odor

cond-mat.stat-mecharXiv:cond-mat/0512723

Abstract

The phase transitions classes of reaction-diffusion systems with multi-particle reactions is an open challenging problem. Large scale simulations are applied for the 3A -> 4A, 3A -> 2A and the 3A -> 4A, 3A->0 triplet reaction models with site occupation restriction in one dimension. Static and dynamic mean-field scaling is observed with signs of logarithmic corrections suggesting dc=1 upper critical dimension for this family of models.

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