Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models
Department of Physics, Alzahra University, 19384 Tehran, Iran
Revised: 23 January 2010
Published online: 16 February 2010
The most general nonuniform reaction-diffusion models on a one-dimensional lattice with boundaries, for which the time evolution equations of correlation 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 superautonomous models, a nonuniform voter model is introduced, and solved explicitly.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010