Cyclically coupled spreading and pair annihilation

Abstract

Recently it has been shown that the transition of the 1+1-dimensional annihilation-fission process 2X->3X, 2X->0 exhibits an unusual type of nonequilibrium critical behavior. The phenomenological properties of critical clusters are characterized by two different dynamic modes for spreading and diffusion. In order to describe the interplay of these modes, we introduce an effective model which involves two species of particles A and B. The A-particles perform an ordinary directed percolation process while the B particles diffuse and annihilate. Both subsystems are cyclically coupled by particle transmutation A <-> B. The resulting critical behavior is in many respects similar to the one observed in the annihilation-fission process.

amstex, 11 pages, 8 eps figures

References in corpus (4)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
• Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
• Critical behaviour of the 1d annihilation fission process 2A->0, 2A->3A

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• Phase transition of a two dimensional binary spreading model
• The phase transition of the diffusive pair contact process revisited
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• Multicomponent binary spreading process
• Stochastic cellular automaton for the coagulation-fission-process 2A->3A, 2A->A
• Hard core particle exclusion effects in low dimensional non-equilibrium phase transitions
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• Crossover from the parity-conserving pair contact process with diffusion to other universality classes
• Phase transitions of the binary production 2A->3A, 4A->0 model
• Critical behavior of the two dimensional 2A->3A, 4A->0 binary system
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• A coupled two-species model for the pair contact process with diffusion
• The diffusive pair contact process and non-equilibrium wetting
• Generalized scaling relations for unidirectionally coupled nonequilibrium systems
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion