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hal.structure.identifier
dc.contributor.authorDe Masi, Anna
hal.structure.identifierGran Sasso Science Institute [GSSI]
dc.contributor.authorMarchesani, Stefano
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
hal.structure.identifierGran Sasso Science Institute [GSSI]
dc.contributor.authorXu, Lu
dc.date.accessioned2021-10-22T12:47:34Z
dc.date.available2021-10-22T12:47:34Z
dc.date.issued2021
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22087
dc.language.isoenen
dc.subjectQuasi-Static limitsen
dc.subjectAsymmetric simple exclusionen
dc.subjectEntropy solutionsen
dc.subjectBurgers equationen
dc.subject.ddc520en
dc.titleQuasi-static limit for the asymmetric simple exclusionen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study the one-dimensional asymmetric simple exclusion process on the lattice {1,. .. , N } with creation/annihilation at the boundaries. The boundary rates are time dependent and change on a slow time scale N^a with a > 0. We prove that at the time scale N^{1+a} the system evolves quasi-statically with a macroscopic density profile given by the entropy solution of the stationary Burgers equation with boundary densities changing in time, determined by the corresponding microscopic boundary rates. We consider two different types of boundary rates: the "Liggett boundaries" that correspond to the projection of the infinite dynamics, and the reversible boundaries, that correspond to the contact with particle reservoirs in equilibrium. The proof is based on the control of the Lax boundary entropy-entropy flux pairs and a coupling argument.en
dc.identifier.citationpages38en
dc.relation.ispartofseriestitleCahier de recherche du CEREMADEen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-03177202en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2021
dc.description.ssrncandidatenon
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dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2021-10-22T12:43:09Z
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