Random walks with imperfect trapping in the decoupled-ring approximation

dc.contributor.authorAspelmeier, T.en
dc.contributor.authorMagnin, J.en
dc.contributor.authorGraupner, W.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2016-09-30T00:29:35Zen
dc.date.available2016-09-30T00:29:35Zen
dc.date.issued2002-08-01en
dc.description.abstractWe investigate random walks on a lattice with imperfect traps. In one dimension, we perturbatively compute the survival probability by reducing the problem to a particle diffusing on a closed ring containing just one single trap. Numerical simulations reveal this solution, which is exact in the limit of perfect traps, to be remarkably robust with respect to a significant lowering of the trapping probability. We demonstrate that for randomly distributed traps, the long-time asymptotics of our result recovers the known stretched exponential decay. We also study an anisotropic three-dimensional version of our model, where for sufficiently large transverse diffusion the system is described by the mean-field kinetics. We discuss possible applications of some of our findings to the decay of excitons in semiconducting organic polymer materials, and emphasize the crucial influence of the spatial trap distribution on the kinetics.en
dc.description.versionPublished versionen
dc.format.extent441 - 450 (10) page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1140/epjb/e2002-00247-1en
dc.identifier.issn1434-6028en
dc.identifier.issue4en
dc.identifier.urihttp://hdl.handle.net/10919/73093en
dc.identifier.volume28en
dc.language.isoenen
dc.publisherSpringer-Verlagen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000178006900007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhysics, Condensed Matteren
dc.subjectPhysicsen
dc.subjectCONJUGATED POLYMERSen
dc.subjectDIFFUSIONen
dc.subjectDISSOCIATIONen
dc.subjectDIMENSIONSen
dc.subjectMEDIAen
dc.subjectSITESen
dc.titleRandom walks with imperfect trapping in the decoupled-ring approximationen
dc.title.serialEuropean Physical Journal Ben
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
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

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