Research output: Contribution to journal › Article › peer-review
The 2.5-D analytical model of steady-state Hall magnetic reconnection. / Korovinskiy, D. B.; Semenov, V. S.; Erkaev, N. V.; Divin, A. V.; Biernat, H. K.
In: Journal of Geophysical Research, Vol. 113, No. 4, A04205, 01.04.2008.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - The 2.5-D analytical model of steady-state Hall magnetic reconnection
AU - Korovinskiy, D. B.
AU - Semenov, V. S.
AU - Erkaev, N. V.
AU - Divin, A. V.
AU - Biernat, H. K.
PY - 2008/4/1
Y1 - 2008/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=46749116772&partnerID=8YFLogxK
U2 - 10.1029/2007JA012852
DO - 10.1029/2007JA012852
M3 - Article
VL - 113
JO - Journal of Geophysical Research: Biogeosciences
JF - Journal of Geophysical Research: Biogeosciences
SN - 0148-0227
IS - 4
M1 - A04205
ER -
ID: 5038487