Transition invariant exclusion processes on discrete groups, as examples of spatially extended systems, are discussed in this work. We show that there is reversibility if and only if the entropy production vanishes, or iff the speed function field has some bounded potential, which is expressed in te
Exclusion processes on groups: entropy production density and reversibility
β Scribed by Fuxi Zhang
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 214 KB
- Volume
- 348
- Category
- Article
- ISSN
- 0378-4371
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β¦ Synopsis
An entropy production density is defined for translation invariant exclusion processes on groups, as examples of spatially extended systems. It is associated with local instantaneous entropy production rates, and can be a substitution of the entropy production rate, which may not exist. We derive the formula of the entropy production density and show that it vanishes if and only if the process is reversible.
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