Steady-State Lévy Flights in a Confined Domain

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dc.creatorDenisov, S. I.
dc.creatorHorsthemke, Werner
dc.creatorHänggi, Peter
dc.date2008-04-08
dc.date2008-06-11
dc.date.accessioned2026-07-07T09:43:30Z
dc.date.available2026-07-07T09:43:30Z
dc.descriptionWe derive the generalized Fokker-Planck equation associated with a Langevin equation driven by arbitrary additive white noise. We apply our result to study the distribution of symmetric and asymmetric Lévy flights in an infinitely deep potential well. The fractional Fokker-Planck equation for Lévy flights is derived and solved analytically in the steady state. It is shown that Lévy flights are distributed according to the beta distribution, whose probability density becomes singular at the boundaries of the well. The origin of the preferred concentration of flying objects near the boundaries in nonequilibrium systems is clarified.
dc.description10 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.1301
dc.identifierhttp://arxiv.org/abs/0804.1301
dc.identifierPhys. Rev. E 77, 061112 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.061112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162580
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleSteady-State Lévy Flights in a Confined Domain
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