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Automodel solutions for superdiffusive transport by Levy walks

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dc.contributor.authorKulichenko, A. A.
dc.contributor.authorKukushkin, A. B.
dc.contributor.authorКукушкин, Александр Борисович
dc.date.accessioned2024-11-21T11:20:17Z
dc.date.available2024-11-21T11:20:17Z
dc.date.issued2019
dc.description.abstractThe method of approximate automodel solution for the Green's function of time-dependent superdiffusive (nonlocal) transport equations (Kukushkin A B and Sdvizhenskii P A 2016 J. Phys. A: Math. Theor. 49 255002) is extended to the case of a finite velocity of carriers. This corresponds to an extension from Levy flight based transport to transport of a type which belongs to the class of 'Levy walks + rests', to allow for retardation effects in Levy flights. This problem covers the cases of transport by resonant photons in astrophysical gases and plasmas, heat transport by electromagnetic waves in plasmas, migration of predators, and other applications. We treat a model case of 1D transport on a uniform background with a simple power-law step-length probability distribution function (PDF). A solution for the arbitrary superdiffusive PDF is suggested, and verification of the solution for a particular power-law PDF, which corresponds, e.g., to Lorentzian wings of atomic spectral line shapes for the emission of photons, is carried out using the computation of the exact solution.
dc.identifier.citationKulichenko, A. A. Automodel solutions for superdiffusive transport by Levy walks / Kulichenko, AA, Kukushkin, AB // Physica Scripta. - 2019. - 94. - № 11. - 10.1088/1402-4896/ab2550
dc.identifier.doi10.1088/1402-4896/ab2550
dc.identifier.urihttps://www.doi.org/10.1088/1402-4896/ab2550
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85074271040&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000482017600005
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/18589
dc.relation.ispartofPhysica Scripta
dc.titleAutomodel solutions for superdiffusive transport by Levy walks
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue11
oaire.citation.volume94
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