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• W1987281848 abstract "Different branching and annihilating random walk models are investigated by cluster mean-field method and simulations in one and two dimensions. In case of the A -> 2A, 2A -> 0 model the cluster mean-field approximations show diffusion dependence in the phase diagram as was found recently by non-perturbative renormalization group method (L. Canet et al., cond-mat/0403423). The same type of survey for the A -> 2A, 4A -> 0 model results in a reentrant phase diagram, similar to that of 2A -> 3A, 4A -> 0 model (G. 'Odor, PRE {bf 69}, 036112 (2004)). Simulations of the A -> 2A, 4A -> 0 model in one and two dimensions confirm the presence of both the directed percolation transitions at finite branching rates and the mean-field transition at zero branching rate. In two dimensions the directed percolation transition disappears for strong diffusion rates. These results disagree with the predictions of the perturbative renormalization group method." @default.
• W1987281848 created "2016-06-24" @default.
• W1987281848 creator A5002721807 @default.
• W1987281848 date "2004-12-13" @default.
• W1987281848 modified "2023-09-30" @default.
• W1987281848 title "Role of diffusion in branching and annihilation random walk models" @default.
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• W1987281848 doi "https://doi.org/10.1103/physreve.70.066122" @default.
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