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

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dc.contributor.authorMukhamadiarov, Ruslan I.en
dc.contributor.authorPriyankaen
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentCenter for Soft Matter and Biological Physicsen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-12-29T14:35:14Zen
dc.date.available2019-12-29T14:35:14Zen
dc.date.issued2018-09-22en
dc.date.updated2019-12-29T14:35:10Zen
dc.description.abstractWe explore the intriguing spatial patterns that emerge in a two-dimensional spatially inhomogeneous Katz-Lebowitz-Spohn (KLS) driven lattice gas with attractive nearest-neighbor interactions. The domain is split into two regions with hopping rates governed by different temperatures T > T_c and T_c, respectively, where T_c indicates the critical temperature for phase ordering, and with the temperature boundaries oriented perpendicular to the drive. In the hotter region, the system behaves like the (totally) asymmetric exclusion processes (TASEP), and experiences particle blockage in front of the interface to the critical region. To explain this particle density accumulation near the interface, we have measured the steady-state current in the KLS model at T > T_c and found it to decay as 1/T. In analogy with TASEP systems containing "slow" bonds, we argue that transport in the high-temperature subsystem is impeded by the lower current in the cooler region, which tends to set the global stationary particle current value. This blockage is induced by the extended particle clusters, growing logarithmically with system size, in the critical region. We observe the density profiles in both high-and low-temperature subsystems to be similar to the well-characterized coexistence and maximal-current phases in (T)ASEP models with open boundary conditions, which are respectively governed by hyperbolic and trigonometric tangent functions. Yet if the lower temperature is set to T_c, we detect marked fluctuation corrections to the mean-field density profiles, e.g., the corresponding critical KLS power law density decay near the interfaces into the cooler region.en
dc.description.notes14 pages, 10 figuresen
dc.description.versionPublished versionen
dc.format.extentPages 062122en
dc.identifier.doihttps://doi.org/10.1103/physreve.100.062122en
dc.identifier.eissn2470-0053en
dc.identifier.issn2470-0045en
dc.identifier.issue6en
dc.identifier.orcidTauber, Uwe [0000-0001-7854-2254]en
dc.identifier.urihttp://hdl.handle.net/10919/96228en
dc.identifier.volume100en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.ispartof6th Virginia Soft Matter Workshopen
dc.relation.urihttp://arxiv.org/abs/1907.08576v3en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectcond-mat.stat-mechen
dc.titleTransverse temperature interfaces in the Katz-Lebowitz-Spohn driven lattice gasen
dc.title.serialPhysical Review Een
dc.typeConference proceedingen
pubs.organisational-group/Virginia Tech/Scienceen
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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