Field-theory approaches to nonequilibrium dynamics

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dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentPhysicsen
dc.contributor.editorHenkel, M.en
dc.contributor.editorPleimling, Michel J.en
dc.contributor.editorSanctuary, R.en
dc.coverage.spatialUniv Luxemburg, Luxemburg, GERMANYen
dc.date.accessioned2016-10-01T13:49:40Zen
dc.date.available2016-10-01T13:49:40Zen
dc.date.issued2007-01-01en
dc.description.abstractIt is explained how field-theoretic methods and the dynamic renormalisation group (RG) can be applied to study the universal scaling properties of systems that either undergo a continuous phase transition or display generic scale invariance, both near and far from thermal equilibrium. Part 1 introduces the response functional field theory representation of (nonlinear) Langevin equations. The RG is employed to compute the scaling exponents for several universality classes governing the critical dynamics near second-order phase transitions in equilibrium. The effects of reversible mode-coupling terms, quenching from random initial conditions to the critical point, and violating the detailed balance constraints are briefly discussed. It is shown how the same formalism can be applied to nonequilibrium systems such as driven diffusive lattice gases. Part 2 describes how the master equation for stochastic particle reaction processes can be mapped onto a field theory action. The RG is then used to analyse simple diffusion-limited annihilation reactions as well as generic continuous transitions from active to inactive, absorbing states, which are characterised by the power laws of (critical) directed percolation. Certain other important universality classes are mentioned, and some open issues are listed.en
dc.description.versionPublished versionen
dc.format.extent295 - 348 (54) page(s)en
dc.identifier.doihttps://doi.org/10.1007/3-540-69684-9en
dc.identifier.isbn978-3-540-69683-4en
dc.identifier.issn0075-8450en
dc.identifier.urihttp://hdl.handle.net/10919/73146en
dc.identifier.volume716en
dc.publisherSpringer-Verlag Berlinen
dc.relation.ispartofSummer School on Ageing and the Glass Transitionen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000246518800007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectTechnologyen
dc.subjectThermodynamicsen
dc.subjectMaterials Science, Ceramicsen
dc.subjectPhysics, Multidisciplinaryen
dc.subjectMaterials Scienceen
dc.subjectPhysicsen
dc.subjectDRIVEN DIFFUSIVE SYSTEMen
dc.subjectMODE-COUPLING TERMSen
dc.subjectDIRECTED PERCOLATIONen
dc.subjectCRITICAL-BEHAVIORen
dc.subjectRENORMALIZATION-GROUPen
dc.subjectPHASE-TRANSITIONen
dc.subjectO(N)-SYMMETRIC SYSTEMSen
dc.subjectCRITICAL RELAXATIONen
dc.subjectDETAILED-BALANCEen
dc.subjectQUANTUM CHAINSen
dc.titleField-theory approaches to nonequilibrium dynamicsen
dc.title.serialAgeing And The Glass Transitionen
dc.typeConference proceedingen
dc.type.otherProceedings Paperen
dc.type.otherMeetingen
dc.type.otherBooks in seriesen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen
pubs.start-date2005-09en

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