Abstract
Reconnection is the most efficient way to release the energy accumulated in the tense astrophysical magnetoplasmas. As such it is a basic paradigm of energy conversion in the universe. Astrophysical reconnection is supposed to heat plasmas to high temperatures, it drives fast flows, winds and jets, it accelerates particles and leads to structure formation. Reconnection can take place only after a local breakdown of the plasma ideality, enabling a change of the magnetic connection between plasma elements. After Giovanelli first suggested magnetoplasma discharges in 1946, reconnection has usually been identified with vanishing magnetic field regions. However, for the last ten years a discussion has been going on about the structure of 3 D reconnection, e.g., whether in 3 D it is possible also without magnetic nulls or not. We first shortly review the relevant magnetostatic and kinematic fluid theory results to argue than that a kinetic approach is necessary to reveal the generic three-dimensional structure and dynamics of reconnection in collisionless astrophysical plasmas. We present results about the 3 D structure of kinetic reconnection in initially antiparallel magnetic fields. They were obtained by selfconsistently considering ion and electron inertia as well as dissipative wave-particle resonances. In this approach reconnection is a natural consequence of the instability of thin current sheets. We present the results of a nonlocal linear dispersion theory and describe the nonlinear evolution of the instability using numerical particle code simulations. The decay of thin current sheets directly leads to a configurational instability and three-dimensional dynamic reconnection. We report the resulting generic magnetic field structure. It contains pairs of magnetic nulls, connected by separating magnetic flux surfaces through which the plasma flows and along which reconnection induces large parallel electric fields. Our results are illustrated by virtual reality views and movies, both stored on the attached CD-ROM and also being available from the Internet.
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References
Axford, W.I., Magnetic storm effects associated with the tail of the magnetosphere, Space Sci. Rev., 7, 149, 1967.
Axford, W.I., Magnetic field reconnection, in Reconnection in space and Laboratory Plasma, ed. by E.W. Hones Jr., pp. 4-14, Geophysical Monography 30, AGU, Washington D.C., 1984.
Axford, W.I., Reconnection, substorms and solar flares, Physics and Chemistry of the Earth, Part C, 24No. 1–3, 147, 1999.
Birn, J., and E.W.H. Hones, Jr., Three-dimensional computer modeling of dynamic reconnection in the geornagnetic tail, J. Geophys. Res., 86, 6802, 1981.
Büchner, J., Multiscale coupling in reconnection — Three-dimensional current sheet tearing, in Multiscale coupling in space plasmas, edited by T. Chang et al., MIT scientific publishers, 79, 1995.
Büchner, J., Three-dimensional current sheet tearing in the Earth's magnetotail, Adv. Space Res.18, 267, 1996.
Büchner, J., Kinetic effects controlling the onset of 3 D reconnection in Proceedings of the invt. International Conference on Substorms, eds. S. Kookaburra and Y. Amide, Kluwer Academic Publishers, Dordrecht, London, Boston, 461, 1998.
Büchner, J., Reconnection: Space plasma simulations for multi-spacecraft satellite observations in the ISTP era, Physics and Chemistry of the Earth, Part C, 24No. 1–3, 179, 1999.
Büchner, J., and J.-P. Kuska, Three-dimensional collisionless reconnection through thin current sheets, Theory and self-consistent simulation, ESA-SP 389, 373, 1996.
Büchner, J., and J.-P. Kuska, New Results about the cause of sudden magnetic detachements by three-dimensional spontaneous magnetic reconnection, in Proc. 31th ESLAB symposium ‘Correlated Phenomena at the Sun, in the Heliosphere and in Geospace', eds. A. Wilson, K.-P. Wentzel, ESTEC, December 1997, ESA-SP 415, 131, 1997a.
Büchner, J., and J.-P. Kuska, Numerical simulation of three-dimensional reconnection due to the instability of collisionless current sheets, Adv. Space Res., 19, 1817, 1997b.
Büchner, J., J.-P. Kuska, Sausage mode instability of thin current sheets, Ann. Geoph., 1999, in press.
Büchner, J., and L.M. Zelenyi, Regular and chaotic charged particle motion in magnetotail-like field reversals, 1. Basic theory, J. Geoph. Res. 93, 11.821, 1989.
Büchner, J., J.-P. Kuska, B. Nikutowski, H. Wiechen, J. Rustenbach, U. Auster, K.H. Fornacon, S. Klimov, A. Petrukovich, S. Savin, Three-dimensional reconnection in the Earth's magnetotail: simulations and observations, in Geospace Mass an Energy Flow: Results from the International Solar-Terrestrial Physics Program, Geophysical Monograph 104, eds. T. Moore and J. Horwitz, 313, 1998.
Büchner, J., B. Nikutowski, J.-P. Kuska, W. Baumjohann, G. Haerendel, U. Auster, K.H. Fornacon, E. Georgescu, Low latitude magnetopause reconnection by comparing Equator-S observations with the results of 3 d kinetic plasma simulations, Ann. Geoph., 1999, submitted.
Coppi, B.G., Laval, R. Pellat, A model for the influence of the Earth magnetic tail on geomagnetic phenomena, Phys. Rev. Lett., 16, 1207, 1966.
Coroniti, F.V., and A. Eviatar, Magnetic field line reconnection in a collisionless plasma, Astrophys. J. Suppl. Ser., 33, 189, 1977.
Cowley, S.W.H., A qualitative study of the reconnection between the Earth's magnetic field and an interplanetary field of arbitrary orientation, Radio Sci., 8, 903, 1973.
Cowley, S.W.H., Comment on the merging of non-antiparallel magnetic fields, J. Geoph. Res. 81, 3455, 1976.
Galeev, A.A., and L.M. Zelenyi, Tearing instability in plasma configuration, Sov. Phys. JETP, Engl. Transl., 43, 1113, 1976.
Giovanelli, R.G., A theory of chromospheric flares, Nature, 158, 81, 1946.
Greene, J.M., Geometrical properties of 3 D reconnecting magnetic fields with nulls, J. Geophys. Res., 93, 8583, 1988.
Hesse, M., and K. Schindler, A theoretical foundation of general magnetic reconnection, J. Geophys. Res., 93, 5559, 1988.
Hornig, G., The Covariant Transport of Electromagnetic Fields and its Relation to Magnetohydrodynamics, Phys. Plasmas, 4, 646, 1997.
Huba, J.D., J.F. Drake, and N.T. Gladd, Lower hybrid drift instability in field reversed plasmas, Phys. Fluids, 23, 552, 1980.
Kadomtsev, B.B., Hydromagnetic stability of a plasma, Reviews of Plasma Physics, ed. M.A. Leontovich, Consultants Bureau, New York, vol. 2, 1966.
Kuska, J.-P. and J. Büchner, The three-dimensional fully kinetic electromagnetic PIC simulation code GISMO, in Proc. VIIth International Conference on Plasma Astrophysics and Space Physics, 1999, in press.
Kuznetsova, M.M., and B. Nikutowski, A modified lower-hybrid-drift instability as a possible mechanism for the generation of magnetic noise bursts in the magnetotail neutral sheet, J. Geophys. Res., 99, 4105, 1994.
Lapenta, G., and J.U. Brackbill, A kinetic theory for the drift-kink instability, J. Geophys. Res., 102, 27,099, 1997.
Lau, Y.-T., and J.M. Finn, Three-dimensional kinematic reconnectio in the presence of field nulls and closed field lines, Astrophys. J., 350, 672, 1990.
Lui, A.T.Y., C.-L. Chang, A. Mankofsky, H.K. Wong, and D. Winske, A cross-field current instability for substorm expansion, J. Geophys. Res., 96, 11,389, 1991.
Nikutowski, B., J. Büchner, S. Klimov, A. Petrukovich, S. Romanov, and S. Savin, Interball observations of field aligned current signatures due to collisionless reconnection, in Proc. VIIth International Conference on Plasma Astrophysics and Space Physics, 1999, in press.
Parker, E.N., Sweet's mechanism for merging of magnetic field lines in conducting fluids, J. Geophys. Res., 62, 506, 1957.
Parker, E.N., Topological dissipation an the small-scale fields in turbulent gases, Astrophys. J., 174, 499, 1972.
Parker, E.N., Spontaneous Current Sheets in Magnetic Fields, Oxford Univ. Press, New York, NY, 1994.
Parnell, C.E., J.M. Smith, T. Neukirch, and E.R. Priest, The structure of three-dimensional magnetic neutral points, Phys. Plasmas, 3, 759, 1996.
Petschek, H.G., Magnetic annihilation, in AAS-NASA Symposium on the Physics of Solar Flares, ed. by W.N. Hess, p. 425, NASA Spec. Publ. SP-50, 1964.
Priest, E.R., and T.G. Forbes, New models of fast, steady-state reconnection, J. Geophys. Res., 91, 5579, 1986.
Priest, E.R., and T.G. Forbes, Steady magnetic reconnection in three dimensions, Solar Phys., 119, 211, 1989.
Priest, E.R., and P. Démoulin, Three-dimensional magnetic reconnection without null points 1. Basic theory of magnetic flipping, J. Geophys. Res., 100, 23443, 1995.
Priest, E.R., T.N. Bungey, and V.S. Titov, The 3 D topology and interaction of complex magnetic flux systems, Geophys. Astrophys. Fluid Dyn., 84, 127, 1997.
Pritchett, P.L., F.V. Coroniti and V.K. Decyk, Three-dimensional stability of thin quasi-neutral current sheets, J. Geophys. Res., 101, 27,413, 1996.
Schindler, K., A theory of substorm mechanisms, J. Geophys. Res., 79, 2803, 1974.
Schindler, K., M. Hesse and J. Birn, General reconnection, parallel electric fields and helicity, J. Geophys. Res., 93, 5547, 1988.
Sweet, P.A., The neutral point theory of solar flares, in Proc. of the International Astronomical Union Symposium on Electromagnetic Phenomena, p. 123, Cambridge University Press, 1958.
Teresawa, T., Hall current effect on tearing mode instability, J. Geophys. Res., 19, 475, 1983.
Tajima T. and K. Shibata, Plasma Astrophysics, Addison-Wesley, Reading, Massachusetts, 1997.
Vasyliūnas, V.M., Theoretical models of magnetic field line merging, Rev. Geophys. Space Phys., 13, 303, 1975.
Vasyliūnas, V.M., Steady state aspects of magnetic field line merging and The last words, in Reconnection in space and Laboratory Plasma, ed. by E.W. Hones Jr., pp. 25-31, 385–386, Geophysical Monograph 30, AGU, Washington D.C., 1984.
Yamanaka, K., Threshold of electromagnetic instability in a magnetic neutral sheet, Physica Scripta, 17, 15, 1978.
Zhu, Z., and R.M. Winglee, Tearing instability, flux ropes, and the kinetic current sheet kink instability, J. Geophys. Res., 101, 4885, 1996.
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Büchner, J. Three-Dimensional Magnetic Reconnection in Astrophysical Plasmas - Kinetic Approach. Astrophysics and Space Science 264, 25–42 (1998). https://doi.org/10.1023/A:1002451401635
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DOI: https://doi.org/10.1023/A:1002451401635