Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries
arXiv:cond-mat/0012495 · doi:10.1088/0305-4470/34/37/301
Abstract
The family of autonomous reaction-diffusion models on a one-dimensional lattice with boundaries is studied. By autonomous, it is meant that the evolution equation for n-point functions contain only n- or less- point functions. It is shown that these models exhibit a static and a dynamic phase transition.
13 pages, LaTeX 2e
Cited by in corpus (13)
- Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries
- Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions
- Models solvable through the empty-interval method
- Phase transitions in systems possessing Shock solutions
- Multi shocks in Reaction-diffusion models
- Static- and dynamical-phase transition in multidimensional voting models on continua
- Dynamical phase transition in one-dimensional kinetic Ising model with nonuniform coupling constants
- Perturbative calculation of one-point functions of one-dimensional single-species reaction-diffusion systems
- One-dimensional kinetic Ising model with nonuniform coupling constants
- Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models
- A stochastic model solvable without integrability
- Cluster approximation solution of a two species annihilation model
- Multi-species reaction-diffusion models admitting shock solutions