Phase transitions of the generalized contact process with two absorbing states
arXiv:1003.1308 · doi:10.1103/PhysRevE.81.061128
Abstract
We investigate the generalized contact process with two absorbing states in one space dimension by means of large-scale Monte-Carlo simulations. Treating the creation rate of active sites between inactive domains as an independent parameter leads to a rich phase diagram. In addition to the conventional active and inactive phases we find a parameter region where the simple contact process is inactive, but an infinitesimal creation rate at the boundary between inactive domains is sufficient to take the system into the active phase. Thus, the generalized contact process has two different phase transition lines. The point separating them shares some characteristics with a multicritical point. We also study in detail the critical behaviors of these transitions and their universality.
9 pages, 9 eps figures included, final version as published
References in corpus (16)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Universality classes in nonequilibrium lattice systems
- Universal scaling behavior of non-equilibrium phase transitions
- Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
- Directed percolation criticality in turbulent liquid crystals
- Low-density series expansions for directed percolation I: A new efficient algorithm with applications to the square lattice
- Stochastic Lattice Models with Several Absorbing States
- Universality Class of Two-Offspring Branching Annihilating Random Walks
- Critical exponents of directed percolation measured in spatiotemporal intermittency
- Critical behavior of an even offspringed branching and annihilating random walk cellular automaton with spatial disorder
- The generalized contact process with n absorbing states
- Nontrivial critical crossover between directed percolation models: Effect of infinitely many absorbing states
- Absorbing-state phase transitions on percolating lattices
- Three different routes from the directed Ising to the directed percolation class
- Crossover from the parity-conserving pair contact process with diffusion to other universality classes
- Crossovers from parity conserving to directed percolation universality
Cited by in corpus (6)
- Random fields at a nonequilibrium phase transition
- The effect of quenched disorder in neutral theories
- Generalized contact process with two symmetric absorbing states in two dimensions
- Random field disorder at an absorbing state transition in one and two dimensions
- Probability distribution of the order parameter in the directed percolation universality class
- Hidden percolation transition in kinetic replication process