Open AccessThe 2.5‐D analytical model of steady‐state Hall magnetic reconnection
Author(s) -
Korovinskiy D. B.,
Semenov V. S.,
Erkaev N. V.,
Divin A. V.,
Biernat H. K.
Publication year - 2008
Publication title -
journal of geophysical research: space physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2007ja012852
Subject(s) - physics , magnetohydrodynamics , magnetic reconnection , magnetic field , bernoulli's principle , steady state (chemistry) , plasma , electron , classical mechanics , compressibility , hall effect , mechanics , quantum electrodynamics , quantum mechanics , chemistry , thermodynamics
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 Alfvén velocities and the formation of Hall current systems and a magnetic field structure as expected.