Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models

Details Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models

2010-01-30

arxiv.org/abs/1002.0059v1

Eur. Phys. J. B74 (2010) 159

Physics

Condensed Matter

Statistical Mechanics

14 pages

Scientific paper

10.1140/epjb/e2010-00061-2

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.

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