Anomalous transport of cosmic rays in a nonlinear diffusion model

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dc.contributor.authorLitvinenko, Yuri E.en_NZ
dc.contributor.authorFichtner, Horsten_NZ
dc.contributor.authorWalter, Dominiken_NZ
dc.date.accessioned2017-07-24T22:24:44Z
dc.date.available2017en_NZ
dc.date.available2017-07-24T22:24:44Z
dc.date.issued2017en_NZ
dc.description.abstractWe investigate analytically and numerically the transport of cosmic rays following their escape from a shock or another localized acceleration site. Observed cosmic-ray distributions in the vicinity of heliospheric and astrophysical shocks imply that anomalous, superdiffusive transport plays a role in the evolution of the energetic particles. Several authors have quantitatively described the anomalous diffusion scalings, implied by the data, by solutions of a formal transport equation with fractional derivatives. Yet the physical basis of the fractional diffusion model remains uncertain. We explore an alternative model of the cosmic-ray transport: a nonlinear diffusion equation that follows from a self-consistent treatment of the resonantly interacting cosmic-ray particles and their self-generated turbulence. The nonlinear model naturally leads to superdiffusive scalings. In the presence of convection, the model yields a power-law dependence of the particle density on the distance upstream of the shock. Although the results do not refute the use of a fractional advection–diffusion equation, they indicate a viable alternative to explain the anomalous diffusion scalings of cosmic-ray particles.
dc.format.mimetypeapplication/pdf
dc.identifier.citationLitvinenko, Y. E., Fichtner, H., & Walter, D. (2017). Anomalous transport of cosmic rays in a nonlinear diffusion model. The Astrophysical Journal, 841(1). https://doi.org/10.3847/1538-4357/aa71baen
dc.identifier.doi10.3847/1538-4357/aa71baen_NZ
dc.identifier.eissn1538-4357en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/11218
dc.language.isoen
dc.publisherThe American Astronomical Society
dc.relation.isPartOfThe Astrophysical Journalen_NZ
dc.rightsThis article has been published in the Astronomical Journal. © 2017 The American Astronomical Society.
dc.subjectmathematicsen_NZ
dc.subjectcosmic raysen_NZ
dc.subjectdiffusionen_NZ
dc.subjectturbulenceen_NZ
dc.titleAnomalous transport of cosmic rays in a nonlinear diffusion modelen_NZ
dc.typeJournal Article
pubs.elements-id194858
pubs.issue1en_NZ
pubs.notesQA: Crossrefen_NZ
pubs.organisational-group/Waikato
pubs.organisational-group/Waikato/2018 PBRF
pubs.organisational-group/Waikato/FCMS
pubs.organisational-group/Waikato/FCMS/2018 PBRF - FCMS
pubs.owner.emailyuril@waikato.ac.nz
pubs.owner.nameLitvinenko, Yuri
pubs.publication-statusPublisheden_NZ
pubs.user.infoLitvinenko, Yuri (yuril@waikato.ac.nz)
pubs.volume841en_NZ
uow.identifier.article-no57
uow.verification.statusunverified
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