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Self-similar solutions in the theory of nonstationary radiative transfer in spectral lines in plasmas and gases

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dc.contributor.authorKulichenko, A. A.
dc.contributor.authorNeverov, V. S.
dc.contributor.authorSdvizhenskii, P. A.
dc.contributor.authorSokolov, A. V.
dc.contributor.authorKukushkin, A. B.
dc.contributor.authorКукушкин, Александр Борисович
dc.date.accessioned2024-11-29T12:13:48Z
dc.date.available2024-11-29T12:13:48Z
dc.date.issued2021
dc.description.abstract© 2021 by the authors. Licensee MDPI, Basel, Switzerland.Radiative transfer (RT) in spectral lines in plasmas and gases under complete redistribu-tion of the photon frequency in the emission-absorption act is known as a superdiffusion transport characterized by the irreducibility of the integral (in the space coordinates) equation for the atomic excitation density to a diffusion-type differential equation. The dominant role of distant rare flights (Lévy flights, introduced by Mandelbrot for trajectories generated by the Lévy stable distribution) is well known and is used to construct approximate analytic solutions in the theory of stationary RT (the escape probability method is the best example). In the theory of nonstationary RT, progress based on similar principles has been made recently. This includes approximate self-similar solutions for the Green’s function (i) at an infinite velocity of carriers (no retardation effects) to cover the Biberman–Holstein equation for various spectral line shapes; (ii) for a finite fixed velocity of carriers to cover a wide class of superdiffusion equations dominated by Lévy walks with rests; (iii) verifica-tion of the accuracy of above solutions by comparison with direct numerical solutions obtained using distributed computing. The article provides an overview of the above results with an emphasis on the role of distant rare flights in the discovery of nonstationary self-similar solutions.
dc.format.extentС. 1-32
dc.identifier.citationSelf-similar solutions in the theory of nonstationary radiative transfer in spectral lines in plasmas and gases / Kulichenko, A.A. [et al.] // Symmetry. - 2021. - 13. - № 3. - P. 1-32. - 10.3390/sym13030394
dc.identifier.doi10.3390/sym13030394
dc.identifier.urihttps://www.doi.org/10.3390/sym13030394
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85102462189&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000634208800001
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/23758
dc.relation.ispartofSymmetry
dc.titleSelf-similar solutions in the theory of nonstationary radiative transfer in spectral lines in plasmas and gases
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue3
oaire.citation.volume13
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relation.isAuthorOfPublication.latestForDiscovery17c1e360-86e1-4d72-be9a-334590c7dfe1
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