Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models |
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Authors: | A Aghamohammadi and M Khorrami |
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Institution: | 1.Department of Physics,Alzahra University,Tehran,Iran |
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Abstract: | 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. |
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Keywords: | |
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