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dc.contributor.authorLitvinenko, Yuri E.
dc.date.accessioned2014-12-02T04:00:56Z
dc.date.available2009
dc.date.available2014-12-02T04:00:56Z
dc.date.issued2009
dc.identifier.citationLitvinenko, Y. E. (2009). Analytical Description of Steady Magnetic Reconnection in Hall Magnetohydrodynamics. Astrophysical Journal, 694(2), 1464–1470. http://doi.org/10.1088/0004-637X/694/2/1464en
dc.identifier.issn0004-637X
dc.identifier.urihttps://hdl.handle.net/10289/8870
dc.description.abstractSteady magnetic reconnection in the framework of incompressible Hall magnetohydrodynamics is considered. The principal role of the Hall effect in the formation of the structure of the reconnecting current sheet is emphasized. Analytical expressions for the velocity and the magnetic field in the sheet are derived, based on the approximation of a weak two dimensionality of the planar components of the solution. The analytical solution illustrates key features of Hall magnetic reconnection, including the reconnection rate enhancement and the sheet thinning due to the Hall effect, the presence of a quadrupolar axial (out-of-the-plane) magnetic field that controls the geometry of the reconnecting planar magnetic field, and the dynamical coupling of the axial and planar components of the solution, with the coupling strength that is proportional to the ion skin depth. Scalings for the sheet thickness, width, and the reconnection inflow and outflow speeds in terms of the electric resistivity and the axial magnetic field are determined. Implications of the results for fast magnetic reconnection in a weakly collisional plasma of the solar corona are discussed.
dc.format.extent1464 - 1470 (7)
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherThe American Astronomical Society
dc.rightsThis article is published in the Astrophysical Journal. © 2009 The American Astronomical Society.
dc.titleAnalytical Description of Steady Magnetic Reconnection in Hall Magnetohydrodynamics
dc.typeJournal Article
dc.identifier.doi10.1088/0004-637X/694/2/1464
dc.relation.isPartOfAstrophysical Journal
pubs.begin-page1464
pubs.elements-id34555
pubs.end-page1470
pubs.issue2
pubs.volume694


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