Parallel temperature interfaces in the Katz-Lebowitz-Spohn driven lattice gas

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dc.contributor.authorMukhamadiarov, Ruslan I.en
dc.contributor.authorPriyanka, Priyankaen
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentPhysicsen
dc.contributor.departmentCenter for Soft Matter and Biological Physicsen
dc.date.accessioned2021-01-09T11:16:35Zen
dc.date.available2021-01-09T11:16:35Zen
dc.date.issued2020-11-27en
dc.date.updated2021-01-09T11:16:31Zen
dc.description.abstractWe explore a variant of the Katz–Lebowitz–Spohn (KLS) driven lattice gas in two dimensions, where the lattice is split into two regions that are coupled to heat baths with distinct temperatures. The geometry was arranged such that the temperature boundaries are oriented parallel to the external particle drive and resulting net current. We have explored the changes in the dynamical behavior that are induced by our choice of the hopping rates across the temperature boundaries. If these hopping rates at the interfaces satisfy particle-hole symmetry, the current difference across them generates a vector flow diagram akin to a vortex sheet. We have studied the finite-size scaling of the particle density fluctuations in both temperature regions, and observed that it is controlled by the respective temperature values. Specifically, if the colder subsystem is maintained at the KLS critical temperature, while the hotter subsystem’s temperature is set much higher, the interface current greatly suppresses particle exchange between the two regions. As a result of the ensuing effective subsystem decoupling, strong fluctuations persist in the critical region, whence the particle density fluctuations scale with the KLS critical exponents. However, if both temperatures are set well above the critical temperature, the particle density fluctuations scale according to the totally asymmetric exclusion process (TASEP). In addition, we have measured the entropy production rate in both subsystems; it displays intriguing algebraic decay in the critical region, while it saturates quickly at a small but non-zero level in the hotter region. We have also considered another possible choice of the hopping rates across the temperature interfaces that explicitly breaks particle-hole symmetry. In that case the boundary rates induce a net particle flux across the interfaces that displays power-law behavior, until ultimately the particle exlusion constraints generate a clogging transition to an inert state.en
dc.description.versionPublished (Publication status)en
dc.format.extentPages 113207-113207en
dc.format.extent20 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1088/1742-5468/abc7b9en
dc.identifier.orcidTauber, Uwe [0000-0001-7854-2254]en
dc.identifier.urihttp://hdl.handle.net/10919/101815en
dc.identifier.volume2020en
dc.language.isoenen
dc.rightsIn Copyright (InC)en
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleParallel temperature interfaces in the Katz-Lebowitz-Spohn driven lattice gasen
dc.title.serialJournal of Statistical Mechanics: Theory and Experiment (JSTAT)en
dc.typeArticle - Refereeden
dc.type.otherArticleen
dcterms.dateAccepted2020-10-23en
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Faculty of Health Sciencesen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Techen

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