Use and Abuse of a Fractional Fokker-Planck Dynamics for Time-Dependent Driving

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dc.creatorHeinsalu, E.
dc.creatorPatriarca, M.
dc.creatorGoychuk, I.
dc.creatorHänggi, P.
dc.date2007-03-15
dc.date2007-05-18
dc.date.accessioned2026-07-07T08:36:42Z
dc.date.available2026-07-07T08:36:42Z
dc.descriptionWe investigate a subdiffusive, fractional Fokker-Planck dynamics occurring in time-varying potential landscapes and thereby disclose the failure of the fractional Fokker-Planck equation (FFPE) in its commonly used form when generalized in an {\it ad hoc} manner to time-dependent forces. A modified FFPE (MFFPE) is rigorously derived, being valid for a family of dichotomously alternating force-fields. This MFFPE is numerically validated for a rectangular time-dependent force with zero average bias. For this case subdiffusion is shown to become enhanced as compared to the force free case. We question, however, the existence of any physically valid FFPE for arbitrary varying time-dependent fields that differ from this dichotomous varying family.
dc.description4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703420
dc.identifierhttp://arxiv.org/abs/cond-mat/0703420
dc.identifierPhys. Rev. Lett. 99, 120602 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.120602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140152
dc.subjectStatistical Mechanics
dc.titleUse and Abuse of a Fractional Fokker-Planck Dynamics for Time-Dependent Driving
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