The Pair Contact Process in Two Dimensions
arXiv:cond-mat/9904161 · doi:10.1103/PhysRevE.60.5126
Abstract
We study the stationary properties of the two-dimensional pair contact process, a nonequilibrium lattice model exhibiting a phase transition to an absorbing state with an infinite number of configurations. The critical probability and static critical exponents are determined via Monte Carlo simulations, as well as order-parameter moment ratios and the scaling of the initial density decay. The static critical properties are consistent with the directed percolation universality class.
7 pages, 5 figures
Cited by in corpus (11)
- Universality classes in nonequilibrium lattice systems
- The non-equilibrium phase transition of the pair-contact process with diffusion
- Sandpiles with height restrictions
- Activated Random Walkers: Facts, Conjectures and Challenges
- Nonuniversality in the pair contact process with diffusion
- Universal finite-size scaling amplitudes in anisotropic scaling
- Generic finite size scaling for discontinuous nonequilibrium phase transitions into absorbing states
- Pair contact process with a particle source
- Scaling behavior of the directed percolation universality class
- A minimal mechanism leading to discontinuous phase transitions for short-range systems with absorbing states
- Demographic noise can promote abrupt transitions in ecological systems