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      Exact solutions for steady state incompressible magnetic reconnection

      Craig, Ian J.D.; Henton, S.M.
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      1995-Astrophyscial-450-1.pdf
      Published version, 955.4Kb
      DOI
       10.1086/176139
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      Craig, I. J. D., & Henton, S. M. (1995). Exact solutions for steady state incompressible magnetic reconnection. Astrophysical Journal, 450(1), 280–288. http://doi.org/10.1086/176139
      Permanent Research Commons link: https://hdl.handle.net/10289/10205
      Abstract
      The problem of steady state magnetic reconnection in incompressible, resistive plasmas is addressed. It is shown that families of exact analytic solutions can be derived by exploiting the formal symmetry between the magnetic field lines and the streamlines of the flow. These solutions, while incorporating previous models for antiparallel magnetic merging, assume no inherent topological symmetry for the reconnective geometry. It is demonstrated that fast reconnection occurs within a narrow X-type configuration defined by the intersection of two separatrix lines. One separatrix line is undistinguished physically, but the other is contiguous with a global current sheet across which there is no plasma flow. The implication is that fast reconnection is more likely to be associated with strong shearing motions close to the neutral point rather than with the conventional stagnation point flow topology.
      Date
      1995
      Type
      Journal Article
      Rights
      This article is published in the Astrophysical Journal. © 1995 The American Astronomical Society.
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      • Computing and Mathematical Sciences Papers [1454]
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