Dynamical phase transitions for flows on finite graphs

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2746
dc.contributor.authorGabrielli, Davide
dc.contributor.authorRenger, D. R. Michiel
dc.date.accessioned2022-06-30T13:03:32Z
dc.date.available2022-06-30T13:03:32Z
dc.date.issued2020
dc.description.abstractWe study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate functional of the average flow is given by a variational formulation involving paths of the density and flow. We give sufficient conditions under which the large deviations of a given time averaged flow is determined by paths that are constant in time. We then consider a class of models on a discrete ring for which it is possible to show that a better strategy is obtained producing a time-dependent path. This phenomenon, called a dynamical phase transition, is known to occur for some particle systems in the hydrodynamic scaling limit, which is thus extended to the setting of a finite graph.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9396
dc.identifier.urihttps://doi.org/10.34657/8434
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2746
dc.relation.issn2198-5855
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510
dc.subject.otherLarge deviationseng
dc.subject.otherparticle systemseng
dc.subject.otherphase transitionseng
dc.titleDynamical phase transitions for flows on finite graphseng
dc.typeReporteng
dc.typeTexteng
dcterms.extent19 S.
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
wias_preprints_2746.pdf
Size:
317.4 KB
Format:
Adobe Portable Document Format
Description: