Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models
arXiv:1002.0059 · doi:10.1140/epjb/e2010-00061-2
Abstract
The most general nonuniform reaction-diffusion models on a one-dimensional lattice with boundaries, for which the time evolution equations of corre- lation functions are closed, are considered. A transfer matrix method is used to find the static solution. It is seen that this transfer matrix can be obtained in a closed form, if the reaction rates satisfy certain conditions. We call such models superautonomous. Possible static phase transitions of such models are investigated. At the end, as an example of superau- tonomous models, a nonuniform voter model is introduced, and solved explicitly.
14 pages
References in corpus (12)
- A far-from-equilibrium fluctuation-dissipation relation for an Ising-Glauber-like model
- Reaction-Diffusion Processes of Hard-Core Particles
- Multispecies reaction-diffusion systems
- Phase transition in an asymmetric generalization of the zero-temperature Glauber model
- Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries
- Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions
- Stationary correlations for a far-from-equilibrium spin chain
- Complete Solution of the Kinetics in a Far-from-equilibrium Ising Chain
- Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries
- Non-equilibrium stationary state of a two-temperature spin chain
- One-dimensional kinetic Ising model with nonuniform coupling constants
- Nagel scaling, relaxation and universality in the kinetic Ising model in an alternating isotopic chain