Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond

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dc.creatorSeppalainen, Timo
dc.date2000-03-08
dc.date.accessioned2026-07-07T04:34:14Z
dc.date.available2026-07-07T04:34:14Z
dc.descriptionWe study a totally asymmetric simple exclusion process where jumps happen at rate one, except at the origin where the rate is lower. We prove a hydrodynamic scaling limit to a macroscopic profile described by a variational formula. The limit is valid for all values of the slow rate. The only assumption required is that a law of large numbers holds for the initial particle distribution. This includes also deterministic initial configurations. The hydrodynamic description contains as an unknown parameter the macroscopic rate at the origin, which is strictly larger than the microscopic slow rate. The limit is proved by the variational coupling method.
dc.identifierhttps://arxiv.org/abs/math/0003049
dc.identifierhttp://arxiv.org/abs/math/0003049
dc.identifierJ. Statist. Phys. 102 (2001), 69-96
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58826
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35; 82C22
dc.titleHydrodynamic profiles for the totally asymmetric exclusion process with a slow bond
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