Critical properties of the reaction-diffusion model 2A -> 3A, 2A -> 0
Abstract
The steady-state phase diagram of the one-dimensional reaction-diffusion model 2A -> 3A, 2A -> 0 is studied through the non-hermitian density matrix renormalization group. In the absence of single-particle diffusion the model reduces to the pair-contact process, which has a phase transition in the universality class of directed percolation (DP) and an infinite number of absorbing steady states. When single-particle diffusion is added, the number of absorbing steady states is reduced to two and the model does not show DP critical behavior anymore. Rather, we find that for large values of the diffusion constant d the transition from the active to the inactive state is of first order. On the other hand, for small values of d the transition is continuous and numerical estimates of the critical exponents are consistent with those of the universality class of the branching-annihilating random walks with an even number of offsprings, in spite of the absence of a local conservation law.Keywords
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