Generalized contact process with two symmetric absorbing states in two dimensions
arXiv:1010.3298 · doi:10.1103/PhysRevE.83.011114
Abstract
We explore the two-dimensional generalized contact process with two absorbing states by means of large-scale Monte-Carlo simulations. In part of the phase diagram, an infinitesimal creation rate of active sites between inactive domains is sufficient to take the system from the inactive phase to the active phase. The system therefore displays two different nonequilibrium phase transitions. The critical behavior of the generic transition is compatible with the generalized voter (GV) universality class, implying that the symmetry-breaking and absorbing transitions coincide. In contrast, the transition at zero domain-boundary activation rate is not critical.
7 pages, 7 eps figures included, final version as published
References in corpus (8)
- Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
- Directed percolation criticality in turbulent liquid crystals
- Infinite-randomness critical point in the two-dimensional disordered contact process
- Langevin description of critical phenomena with two symmetric absorbing states
- Nontrivial critical crossover between directed percolation models: Effect of infinitely many absorbing states
- Three different routes from the directed Ising to the directed percolation class
- Crossovers from parity conserving to directed percolation universality
- Phase transitions of the generalized contact process with two absorbing states
Cited by in corpus (7)
- Random fields at a nonequilibrium phase transition
- Random field disorder at an absorbing state transition in one and two dimensions
- Order-disorder transition in the two dimensional interacting monomer-dimer model: Ising criticality
- Hidden percolation transition in kinetic replication process
- Probability distribution of the order parameter in the directed percolation universality class
- Charge order in an interacting monolayer under transverse bias
- Double transitions, non-Ising criticality and critical absorbing phase in an interacting monomer-dimer model on a square lattice: