Nonequilibrium Transport and Phase Transitions in Driven Diffusion of Interacting Particles

DC FieldValueLanguage
dc.contributor.authorLips, Dominik
dc.contributor.authorRyabov, Artem
dc.contributor.authorMaass, Philipp
dc.date.accessioned2021-12-23T16:09:26Z-
dc.date.available2021-12-23T16:09:26Z-
dc.date.issued2020
dc.identifier.issn09320784
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/8794-
dc.description.abstractDriven diffusive systems constitute paradigmatic models of nonequilibrium physics. Among them, a driven lattice gas known as the asymmetric simple exclusion process (ASEP) is the most prominent example for which many intriguing exact results have been obtained. After summarising key findings, including the mapping of the ASEP to quantum spin chains, we discuss the recently introduced Brownian ASEP (BASEP) as a related class of driven diffusive system with continuous space dynamics. In the BASEP, driven Brownian motion of hardcore-interacting particles through one-dimensional periodic potentials is considered. We study whether current-density relations of the BASEP can be considered as generic for arbitrary periodic potentials and whether repulsive particle interactions other than hardcore lead to similar results. Our findings suggest that shapes of current-density relations are generic for single-well periodic potentials and can always be attributed to the interplay of a barrier reduction, blocking, and exchange symmetry effect. This implies that in general up to five different phases of nonequilibrium steady states are possible for such potentials. The phases can occur in systems coupled to particle reservoirs, where the bulk density is the order parameter. For multiple-well periodic potentials, more complex current-density relations are possible, and more phases can appear. Taking a repulsive Yukawa potential as an example, we show that the effects of barrier reduction and blocking on the current are also present. The exchange symmetry effect requires hardcore interactions, and we demonstrate that it can still be identified when hardcore interactions are combined with weak Yukawa interactions. The robustness of the collective dynamics in the BASEP with respect to variations of model details can be a key feature for a successful observation of the predicted current-density relations in actual physical systems.
dc.description.sponsorshipCzech Science FoundationGrant Agency of the Czech Republic [20-24748J]; Deutsche ForschungsgemeinschaftGerman Research Foundation (DFG) [397157593]; DFG Research UnitGerman Research Foundation (DFG) [FOR 2692]; Financial support by the Czech Science Foundation (Funder Id: http://dx.doi.org/10.13039/501100001824, project no. 20-24748J) and the Deutsche Forschungsgemeinschaft (Funder Id: http://dx.doi.org/10.13039/501100001659, project no. 397157593) is gratefully acknowledged. We sincerely thank the members of the DFG Research Unit FOR 2692 for fruitful discussions.
dc.language.isoen
dc.publisherWALTER DE GRUYTER GMBH
dc.relation.ispartofZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
dc.subjectASYMMETRIC EXCLUSION PROCESS
dc.subjectBrownian Asymmetric Simple Exclusion Process
dc.subjectChemistry
dc.subjectChemistry, Physical
dc.subjectDriven Diffusion
dc.subjectEQUILIBRIUM
dc.subjectFLOW
dc.subjectMASTER-EQUATION
dc.subjectMODELS
dc.subjectNonequilibrium Dynamics
dc.subjectNonequilibrium Phase Transitions
dc.subjectPhysics
dc.subjectPhysics, Multidisciplinary
dc.subjectSingle-File Transport
dc.subjectSTATE
dc.subjectSYSTEMS
dc.titleNonequilibrium Transport and Phase Transitions in Driven Diffusion of Interacting Particles
dc.typejournal article
dc.identifier.doi10.1515/zna-2020-0028
dc.identifier.isiISI:000533534800008
dc.description.volume75
dc.description.issue5, SI
dc.description.startpage449
dc.description.endpage463
dc.contributor.orcid0000-0001-8593-9516
dc.contributor.orcid0000-0002-1268-8688
dc.contributor.orcid0000-0003-2912-5416
dc.contributor.researcheridA-1589-2013
dc.contributor.researcheridH-1477-2011
dc.identifier.eissn18657109
dc.publisher.placeGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
dcterms.isPartOf.abbreviationZ. Naturfors. Sect. A-J. Phys. Sci.
dcterms.oaStatusBronze, Green Submitted
crisitem.author.deptFB 04 - Physik-
crisitem.author.deptidfb04-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidMaPh688-
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