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Reversibility and potentiality of exclusion processes on countable discrete groups

โœ Scribed by Hao Ge; Min Qian

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
173 KB
Volume
20
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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 terms of physical states rather than mathematical states in probability space. Moreover, we conclude that the only possible bounded potential is the constant one.

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Exclusion processes on groups: entropy p
Exclusion processes on groups: entropy production density and reversibility
โœ Fuxi Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 214 KB

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 th