Abstract
A review of the present status of the theory of magnetic reconnection is given. First the basic concepts are introduced, the MHD equations, the generalized Ohm's law and the conservation laws. In strongly collisional plasmas reconnection proceeds via resistive current sheets, the theory of which is presented in some detail. At weak collisionality the reconnection dynamics is domainated by nondissipative effects, which in low-β plasmas are mainly the Hall term and electron inertia. The equations of electron magnetohydrodynamics are introduced, which allow a rather complete analysis of the reconnection configuration, yielding reconnection rates independent of the smallness parameters of the system. Including the coupling to the ions the reconnection rate is found to depend only on ion inertia. Hence collisionless reconnection can be very rapid proceeding essentially on the Alfvén time scale.
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References
Aydemir, A.Y. (1992): Phys. Fluids B4 3469–3472
Biskamp, D. (1986): Phys. Fluids 29 1520–1531
Biskamp, D. (1993): Nonlinear Magnetohydrodynamics (Cambridge University Press 1993), pp. 156–159
Biskamp, D. (1994): Phys. Rep. 237 179–247
Biskamp, D., Welter, H. (1989): Phys. Fluids B1 1964–1979
Biskamp, D., Drake, J.F.: submitted to Phys. Plasmas
Bulanov, S.V. et al. (1986): Sov. J. Plasma Phys. 12, 180–189
Bulanov, S.V., Pegoro, F., Sakharov, A.S. (1992): Phys. Fluids B4, 2499–2508
Cowley, S.W.H. (1975): J. Plasma Phys. 14 475–490
Drake, J.F., Kleva, R.G., Mandt, M.E. (1994): Phys. Rev. Lett. 73 1251–1254
Finn, J.M., Antonsen, T.M. (1985): Comments Plasma Phys. and Controlled Fusion 26 111–136
Kaw, P.K., Valeo, E.J., Rutherford, P.H. (1979): Phys. Rev. Lett. 43 1398–1401
Kingsep, A.S., Chukbar, K.V., Yan'kov, V.V.: in Reviews of Plasma Physics (Consultants Bureau, New York, 1990), Vol. 16
Kleva, R.G., Drake, J.F., Waelbroeck, F.L. (1995): Phys. Plasmas 2 23–34
Lau, Y.T., Finn, J.M. (1990): Astrophys. J. 350 672–691
Mikhailowskii, A.B.: Theory of Plasma Instabilities (Consultants Bureau, New York, 1974), Vol. 2
Moffat, H.K., Ricca, R.L. (1992): Proc. R. Soc. Lond. A439 411–429
Petschek, H.E. (1964): AAS/NASA Symposium on the Physics of Solar Flares, ed. W.N. Hess (NASA, Washington D.C) pp. 425–437
Pfister, H., Gekelman, W. (1990): Am. J. Phys. 59 497–502
Politano, H., Pouquet, A., Sulem, P.L. (1995): to be published in Phys. Plasmas
Schindler, K., Hesse, M., Birn, J. (1988): J. Geophys. Res. 93 5547–5557
Syrovatskii, S.J. (1971): Sov. Phys. JETP 33 933–940
Taylor, J.B. (1986): Rev. Mod. Phys. 53 741–763
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© 1996 Springer-Verlag Berlin Heidelberg
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Biskamp, D. (1996). Resistive and collisionless magnetic reconnection. In: Chiuderi, C., Einaudi, G. (eds) Plasma Astrophysics. Lecture Notes in Physics, vol 468. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102541
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DOI: https://doi.org/10.1007/BFb0102541
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