Contact processes with long-range interactions
arXiv:cond-mat/0606450 · doi:10.1088/1742-5468/2006/08/P08008
Abstract
A class of non-local contact processes is introduced and studied using mean-field approximation and numerical simulations. In these processes particles are created at a rate which decays algebraically with the distance from the nearest particle. It is found that the transition into the absorbing state is continuous and is characterized by continuously varying critical exponents. This model differs from the previously studied non-local directed percolation model, where particles are created by unrestricted Levy flights. It is motivated by recent studies of non-equilibrium wetting indicating that this type of non-local processes play a role in the unbinding transition. Other non-local processes which have been suggested to exist within the context of wetting are considered as well.
Accepted with minor revisions by Journal of Statistical Mechanics: Theory and experiments
References in corpus (7)
- Universal scaling behavior of non-equilibrium phase transitions
- Quasi-stationary simulation of the contact process
- Directed Percolation with long-range interactions: modeling non-equilibrium wetting
- Wetting under non-equilibrium conditions
- Epidemic spreading with long-range infections and incubation times
- Nonequilibrium wetting of finite samples
- Non-equilibrium wetting transition in a magnetic Eden model
Cited by in corpus (13)
- Non-equilibrium Phase Transitions with Long-Range Interactions
- Nonequilibrium phase transition in an open quantum spin system with long-range interaction
- Long-range epidemic spreading in a random environment
- Phase-transitions of the random bond Potts chain with long-range interactions
- Tricritical directed percolation with long-range interaction in one and two dimensions
- Robustness of first-order phase transitions in one-dimensional long-range contact processes
- Different facets of the raise and peel model
- Nonequilibrium wetting
- Spatial growth processes with long range dispersion: microscopics, mesoscopics, and discrepancy in spread rate
- Long-range contact process and percolation on a random lattice
- Random organization criticality with long-range hydrodynamic interactions
- Spatio-temporal patterns of active epigenetic turnover
- Yielding versus random organization: convex absorbing transitions in soft matter