Brownian particles on rough substrates: Relation between intermediate subdiffusion and asymptotic long-time diffusion

DC FieldValueLanguage
dc.contributor.authorHanes, Richard D. L.
dc.contributor.authorSchmiedeberg, Michael
dc.contributor.authorEgelhaaf, Stefan U.
dc.date.accessioned2021-12-23T16:10:15Z-
dc.date.available2021-12-23T16:10:15Z-
dc.date.issued2013
dc.identifier.issn15393755
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/9245-
dc.description.abstractBrownian particles in random potentials show an extended regime of subdiffusive dynamics at intermediate times. The asymptotic diffusive behavior is often established at very long times and thus cannot be accessed in experiments or simulations. For the case of one-dimensional random potentials with Gaussian distributed energies, we present a detailed analysis of experimental and simulation data. It is shown that the asymptotic long-time diffusion coefficient can be related to the behavior at intermediate times, namely, the minimum of the exponent that characterizes subdiffusion and hence corresponds to the maximum degree of subdiffusion. As a consequence, investigating only the dynamics at intermediate times is sufficient to predict the order of magnitude of the long-time diffusion coefficient and the time scale at which the crossover from subdiffusion to diffusion occurs, i.e., when the long-time diffusive regime and hence thermal equilibrium is established. Inversely, theoretical predictions derived for the asymptotic long-time behavior can be used to quantitatively characterize the intermediate behavior, which hardly has been studied so far.
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (DFG)German Research Foundation (DFG) [SFB-TR6, C7, Schm 2657/2]; International Helmholtz Research School ``BioSoft''; We thank A. Heuer (Munster) as well as J. Bewerunge, F. Evers, and C. Zunke (Dusseldorf) for very helpful discussions. We gratefully acknowledge support by the Deutsche Forschungsgemeinschaft (DFG) through the SFB-TR6 (Project No. C7) and the International Helmholtz Research School ``BioSoft.'' M. S. also acknowledges support from the DFG within the Emmy Noether program (Schm 2657/2).
dc.language.isoen
dc.publisherAMER PHYSICAL SOC
dc.relation.ispartofPHYSICAL REVIEW E
dc.subjectANOMALOUS DIFFUSION
dc.subjectCOLLOIDS
dc.subjectDYNAMICS
dc.subjectLIQUIDS
dc.subjectMICROSCOPY
dc.subjectPhysics
dc.subjectPhysics, Fluids & Plasmas
dc.subjectPhysics, Mathematical
dc.subjectRANDOM-WALKS
dc.subjectSINGLE-FILE DIFFUSION
dc.subjectTRANSPORT
dc.titleBrownian particles on rough substrates: Relation between intermediate subdiffusion and asymptotic long-time diffusion
dc.typejournal article
dc.identifier.doi10.1103/PhysRevE.88.062133
dc.identifier.isiISI:000328697400001
dc.description.volume88
dc.description.issue6
dc.contributor.orcid0000-0001-7833-4906
dc.contributor.orcid0000-0001-7833-4906
dc.contributor.orcid0000-0002-2574-3498
dc.contributor.researcheridABG-5677-2020
dc.contributor.researcheridB-5256-2016
dc.identifier.eissn15502376
dc.publisher.placeONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
dcterms.isPartOf.abbreviationPhys. Rev. E
dcterms.oaStatusGreen Submitted
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