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      Exact solutions for steady state, spine, and fan magnetic reconnection

      Craig, Ian J.D.; Fabling, R.B.
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      1996-Astrophysical-462-2.pdf
      Published version, 2.120Mb
      DOI
       10.1086/177210
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      Craig, I. J. D., & Fabling, R. B. (1996). Exact solutions for steady state, spine, and fan magnetic reconnection. Astrophysical Journal, 462(2), 969–976. http://doi.org/10.1086/177210
      Permanent Research Commons link: https://hdl.handle.net/10289/10180
      Abstract
      The problem of steady state, incompressible magnetic reconnection in three dimensions is addressed. It is shown that exact reconnection solutions can be constructed by superposing nonlinear disturbances onto three-dimensional magnetic AT-points. There are two distinct families of reconnection solutions. These can be understood in terms of the eigenstructure of the null, that is, in terms of the "spine" curves and "fan" surfaces that define the separatrices of the field. One family of solutions is driven by disturbances in the fan and involves quasi-cylindrical current structures aligned to the axis of the spine; the other is associated with advection across the spine and a global current sheet aligned to the fan. Although both spine and fan solutions reduce to the two-dimensional analytic, shear-flow solutions of Craig & Henton, the three-dimensional spine current formulation allows far richer reconnective current structures. © 1996, The American Astronomical Society. All rights reserved.
      Date
      1996
      Type
      Journal Article
      Rights
      This article is published in the Astrophysical Journal. © 1996 The American Astronomica1 Society.
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      • Computing and Mathematical Sciences Papers [1454]
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