Pair contact process with a particle source

Abstract

We study the phase diagram and critical behavior of the one-dimensional pair contact process (PCP) with a particle source using cluster approximations and extensive simulations. The source creates isolated particles only, not pairs, and so couples not to the order parameter (the pair density) but to a non-ordering field, whose state influences the evolution of the order parameter. While the critical point p_c shows a singular dependence on the source intensity, the critical exponents appear to be unaffected by the presence of the source, except possibly for a small change in beta. In the course of our study we obtain high-precision values for the critical exponents of the standard PCP, confirming directed-percolation-like scaling.

arXiv comment15 pages, 9 figures

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Cited by in corpus (15)

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• Onset of meso-scale turbulence in living fluids
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Sandpiles with height restrictions
• Nonuniversality in the pair contact process with diffusion
• Universal scaling behavior of directed percolation and the pair contact process in an external field
• Phase transition of a two dimensional binary spreading model
• Scaling behavior of the directed percolation universality class
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
• Generating function, path integral representation, and equivalence for stochastic exclusive particle systems
• Dynamical mean-field approximation for pair contact process with a particle source
• Phase transitions of the binary production 2A->3A, 4A->0 model
• Critical behavior of an epidemic model of drug resistant diseases
• Cluster approximation solution of a two species annihilation model
• Conserved sandpile with a variable height restriction