Photon trajectories in incoherent atomic radiation trapping as Levy flights

Detalhes bibliográficos
Autor(a) principal: Pereira, Eduardo Jorge Nunes
Data de Publicação: 2004
Outros Autores: Martinho, José M. G., Santos, Mário N. Berberan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/8624
Resumo: Photon trajectories in incoherent radiation trapping for Doppler, Lorentz, and Voigt line shapes under complete frequency redistribution are shown to be Levy flights. The jump length (r) distributions display characteristic long tails. For the Lorentz line shape, the asymptotic form is a strict power law r ^ (-3/2), while for Doppler the asymptotic is r ^ -2 (ln r)^ (-1/2). For the Voigt profile, the asymptotic form always has a Lorentz character, but the trajectory is a self-affine fractal with two characteristic Hausdorff scaling exponents.
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spelling Photon trajectories in incoherent atomic radiation trapping as Levy flightsLevy flightsSuperdiffusionRadiation trappingRadiation transportStochastic processesPower lawFractalScience & TechnologyPhoton trajectories in incoherent radiation trapping for Doppler, Lorentz, and Voigt line shapes under complete frequency redistribution are shown to be Levy flights. The jump length (r) distributions display characteristic long tails. For the Lorentz line shape, the asymptotic form is a strict power law r ^ (-3/2), while for Doppler the asymptotic is r ^ -2 (ln r)^ (-1/2). For the Voigt profile, the asymptotic form always has a Lorentz character, but the trajectory is a self-affine fractal with two characteristic Hausdorff scaling exponents.American Physical SocietyUniversidade do MinhoPereira, Eduardo Jorge NunesMartinho, José M. G.Santos, Mário N. Berberan2004-09-172004-09-17T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/8624eng"Physical Review Letters." ISSN 0031-9007. 93:12 (Sept. 2004) 120201.0031-900710.1103/PhysRevLett.93.120201info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T11:57:36Zoai:repositorium.sdum.uminho.pt:1822/8624Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:47:16.062507Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Photon trajectories in incoherent atomic radiation trapping as Levy flights
title Photon trajectories in incoherent atomic radiation trapping as Levy flights
spellingShingle Photon trajectories in incoherent atomic radiation trapping as Levy flights
Pereira, Eduardo Jorge Nunes
Levy flights
Superdiffusion
Radiation trapping
Radiation transport
Stochastic processes
Power law
Fractal
Science & Technology
title_short Photon trajectories in incoherent atomic radiation trapping as Levy flights
title_full Photon trajectories in incoherent atomic radiation trapping as Levy flights
title_fullStr Photon trajectories in incoherent atomic radiation trapping as Levy flights
title_full_unstemmed Photon trajectories in incoherent atomic radiation trapping as Levy flights
title_sort Photon trajectories in incoherent atomic radiation trapping as Levy flights
author Pereira, Eduardo Jorge Nunes
author_facet Pereira, Eduardo Jorge Nunes
Martinho, José M. G.
Santos, Mário N. Berberan
author_role author
author2 Martinho, José M. G.
Santos, Mário N. Berberan
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Pereira, Eduardo Jorge Nunes
Martinho, José M. G.
Santos, Mário N. Berberan
dc.subject.por.fl_str_mv Levy flights
Superdiffusion
Radiation trapping
Radiation transport
Stochastic processes
Power law
Fractal
Science & Technology
topic Levy flights
Superdiffusion
Radiation trapping
Radiation transport
Stochastic processes
Power law
Fractal
Science & Technology
description Photon trajectories in incoherent radiation trapping for Doppler, Lorentz, and Voigt line shapes under complete frequency redistribution are shown to be Levy flights. The jump length (r) distributions display characteristic long tails. For the Lorentz line shape, the asymptotic form is a strict power law r ^ (-3/2), while for Doppler the asymptotic is r ^ -2 (ln r)^ (-1/2). For the Voigt profile, the asymptotic form always has a Lorentz character, but the trajectory is a self-affine fractal with two characteristic Hausdorff scaling exponents.
publishDate 2004
dc.date.none.fl_str_mv 2004-09-17
2004-09-17T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/8624
url http://hdl.handle.net/1822/8624
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Physical Review Letters." ISSN 0031-9007. 93:12 (Sept. 2004) 120201.
0031-9007
10.1103/PhysRevLett.93.120201
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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