The phase transition of the diffusive pair contact process revisited

Abstract

The restricted diffusive pair contact process 2A->3A, 2A->0 (PCPD) and the classification of its critical behavior continues to be a challenging open problem of non-equilibrium statistical mechanics. Recently Kockelkoren and Chate [Phys. Rev. Lett. 90, 125701 (2003)] suggested that the PCPD in one spatial dimension represents a genuine universality class of non-equilibrium phase transitions which differs from previously known classes. To this end they introduced an efficient lattice model in which the number of particles per site is unrestricted. In numerical simulations this model displayed clean power laws, indicating ordinary critical behavior associated with certain non-trivial critical exponents. In the present work, however, we arrive at a different conclusion. Increasing the numerical effort, we find a slow drift of the effective exponents which is of the same type as observed in previously studied fermionic realizations. Analyzing this drift we discuss the possibility that the asymptotic critical behavior of the PCPD may be governed by an ordinary directed percolation fixed point.

6 pages, 1 figure

References in corpus (10)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Universality classes in nonequilibrium lattice systems
• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
• Cyclically coupled spreading and pair annihilation
• Phase transition of a two dimensional binary spreading model
• Universality in the pair contact process with diffusion
• Phase transition in a triplet process
• Stochastic cellular automaton for the coagulation-fission-process 2A->3A, 2A->A

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• The dynamical origin of the universality classes of spatiotemporal intermittency
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• Reaction-diffusion model Monte Carlo simulations on the GPU
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