Show simple item record  

dc.contributor.authorEffenberger, Frederic
dc.contributor.authorLitvinenko, Yuri E.
dc.date.accessioned2015-04-29T04:58:22Z
dc.date.available2014
dc.date.available2015-04-29T04:58:22Z
dc.date.issued2014
dc.identifier.citationEffenberger, F., & Litvinenko, Y. E. (2014). The diffusion approximation versus the telegraph equation for modeling solar energetic particle transport with adiabatic focusing. I. isotropic pitch-angle scattering. Astrophysical Journal, 783(1). http://doi.org/10.1088/0004-637X/783/1/15en
dc.identifier.issn0004-637X
dc.identifier.urihttps://hdl.handle.net/10289/9308
dc.description.abstractThe diffusion approximation to the Fokker-Planck equation is commonly used to model the transport of solar energetic particles in interplanetary space. In this study, we present exact analytical predictions of a higher order telegraph approximation for particle transport and compare them with the corresponding predictions of the diffusion approximation and numerical solutions of the full Fokker-Planck equation. We specifically investigate the role of the adiabatic focusing effect of a spatially varying magnetic field on an evolving particle distribution. Comparison of the analytical and numerical results shows that the telegraph approximation reproduces the particle intensity profiles much more accurately than does the diffusion approximation, especially when the focusing is strong. However, the telegraph approximation appears to offer no significant advantage over the diffusion approximation for calculating the particle anisotropy. The telegraph approximation can be a useful tool for describing both diffusive and wave-like aspects of the cosmic-ray transport.
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoen
dc.publisherInstitute of Physics Publishing
dc.relation.urihttp://dx.doi.org/10.1088/0004-637X/783/1/15
dc.rights© 2014 The American Astronomical Society.
dc.subjectcosmic rays
dc.subjectdiffusion
dc.subjectmagnetic fields
dc.subjectscattering
dc.subjectSun: heliosphere
dc.subjectSun: particle emission
dc.titleThe diffusion approximation versus the telegraph equation for modeling solar energetic particle transport with adiabatic focusing. I. isotropic pitch-angle scattering
dc.typeJournal Article
dc.identifier.doi10.1088/0004-637X/783/1/15
dc.relation.isPartOfAstrophysical Journal
pubs.begin-page15en_NZ
pubs.elements-id84101
pubs.end-page15en_NZ
pubs.issue1
pubs.volume783
dc.identifier.eissn1538-4357


Files in this item

This item appears in the following Collection(s)

Show simple item record