Phase transition of a two dimensional binary spreading model

Abstract

We investigated the phase transition behavior of a binary spreading process in two dimensions for different particle diffusion strengths ($D$). We found that $N>2$ cluster mean-field approximations must be considered to get consistent singular behavior. The $N=3,4$ approximations result in a continuous phase transition belonging to a single universality class along the $D\in (0,1)$ phase transition line. Large scale simulations of the particle density confirmed mean-field scaling behavior with logarithmic corrections. This is interpreted as numerical evidence supporting that the upper critical dimension in this model is $d_c=2$.The pair density scales in a similar way but with an additional logarithmic factor to the order parameter. At the D=0 endpoint of the transition line we found DP criticality.

8 pages, 10 figures

References in corpus (5)

• Binary spreading process with parity conservation
• Phase transition of the one-dimensional coagulation-production process
• Pair contact process with a particle source
• Multicomponent binary spreading process
• Static critical behavior in the inactive phase of the pair contact process

Cited by in corpus (24)

• 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
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• On the critical behavior of the one dimensional, diffusive pair contact process
• Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
• The phase transition of the diffusive pair contact process revisited
• Driven Pair Contact Process with Diffusion
• Phase transition classes in triplet and quadruplet reaction diffusion models
• Finite scale singularity in the renormalization group flow of a reaction-diffusion system
• Phase transition in a triplet process
• Stochastic cellular automaton for the coagulation-fission-process 2A->3A, 2A->A
• 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
• Critical decay exponent of the pair contact process with diffusion
• The role of diffusion in branching and annihilation random walk models
• Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion
• Critical behavior of the two dimensional 2A->3A, 4A->0 binary system
• Phase transitions of the binary production 2A->3A, 4A->0 model
• A coupled two-species model for the pair contact process with diffusion
• One-dimensional Nonequilibrium Kinetic Ising Models with local spin-symmetry breaking: N-component branching annihilation transition at zero branching rate
• The diffusive pair contact process and non-equilibrium wetting
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion
• Cluster approximation solution of a two species annihilation model