Multicomponent binary spreading process

Abstract

I investigate numerically the phase transitions of two-component generalizations of binary spreading processes in one dimension. In these models pair annihilation: AA->0, BB->0, explicit particle diffusion and binary pair production processes compete with each other. Several versions with spatially different productions have been explored and shown that for the cases: 2A->3A, 2B->3B and 2A->2AB, 2B->2BA a phase transition occurs at zero production rate ($\sigma =0$), that belongs to the class of N-component, asymmetric branching and annihilating random walks, characterized by the order parameter exponent $\beta =2$. In the model with particle production: AB->ABA, BA-> BAB a phase transition point can be located at ${\sigma }_c=0.3253$ that belongs to the class of the one-component binary spreading processes.

5 pages, 5 figures

References in corpus (4)

• Binary spreading process with parity conservation
• Phase transition of the one-dimensional coagulation-production process
• The generalized contact process with n absorbing states
• Criticality of natural absorbing states

Cited by in corpus (12)

• Universality classes in nonequilibrium lattice systems
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Phase transition of a two dimensional binary spreading model
• Phase transition classes in triplet and quadruplet reaction diffusion models
• Finite scale singularity in the renormalization group flow of a reaction-diffusion system
• Stochastic cellular automaton for the coagulation-fission-process 2A->3A, 2A->A
• Hard core particle exclusion effects in low dimensional non-equilibrium phase transitions
• 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