The 2.5-D analytical model of steady-state Hall magnetic reconnection

Тип публикации: статья из журнала

Год издания: 2008

Идентификатор DOI: 10.1029/2007JA012852

Аннотация: An analytical model of steady-state magnetic reconnection in a collisionless incompressible plasma is developed using the electron Hall MHD approximation. It is shown that the initial complicated system of equations may be split into a system of independent equations, and the solution of the problem is based on the solution of the Grad-Shafranov equation for a magnetic potential. This equation is found to be fundamental for the whole problem analysis. An electric field potential jump across the electron diffusion region and the separatrices is proved to be the necessary condition for steady-state reconnection. Besides of this fact, it is found that the protons in-plane motion obeys to Bernoulli law. The solution obtained demonstrates all essential Hall reconnection features, namely proton acceleration up to Alfven velocities and the formation of Hall current systems and a magnetic field structure as expected. Copyright 2008 by the American Geophysical Union.

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Журнал: Journal of Geophysical Research: Space Physics

Выпуск журнала: Vol. 113, Is. 4


  • Korovinskiy D.B. (State University of St. Petersburg)
  • Semenov V.S. (State University of St. Petersburg)
  • Divin A.V. (State University of St. Petersburg)
  • Erkaev N.V. (Institute of Computational Modelling,Russian Academy of Sciences)
  • Biernat H.K. (Institute of Physics,University of Graz)

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