Phase transitions of the binary production 2A->3A, 4A->0 model

Abstract

Phase transitions of the 2A-> 3A, 4A->0 reaction-diffusion model is explored by dynamical, N-cluster approximations and by simulations.The model exhibits site occupation restriction and explicit diffusion of isolated particles. While the site mean-field approximation shows a single transition at zero branching rate introduced in PRE {\bf 67}, 016111 (2003), N>2 cluster approximations predict the appearance of another (reentrant) transition line for weak diffusion (D). This latter phase transition is continuous, occurs at finite branching rate and exhibits different scaling behavior. I show that the universal behavior of this transition is in agreement with that of the PCPD model both on the mean-field level and in one dimension. Therefore this model exhibiting annihilation by quadruplets does not fit in the recently suggested classification of universality classes of absorbing state transitions in one dimension (PRL {\bf 90}, 125701 (2003)). For high diffusion rates the effective 2A->3A->4A->0 reaction becomes irrelevant and the model exhibits a mean-field transition only. The two regions are separated by a non-trivial critical endpoint at D*.

arXiv comment4 pages, 4 figures included, small corrections

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Cited by in corpus (8)

• The non-equilibrium phase transition of the pair-contact process with diffusion
• Some exact results in branching and annihilating random walks
• Branching rate expansion around annihilating random walks
• The role of diffusion in branching and annihilation random walk models
• Critical behavior of the two dimensional 2A->3A, 4A->0 binary system
• Cluster mean-field study of the parity conserving phase transition
• Reentrant condensation transition in a two species driven diffusive system
• Population dynamics in the triplet annihilation model with a mutating reproduction rate