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Volume 53 Supplement 6

Special Issue: Magnetic Reconnection in Space and Laboratory Plasmas

Hall effects on field-aligned current generation in three-dimensional magnetic reconnection


Understanding the generation mechanisms of intense field-aligned currents (FACs) during auroral substorms is one of the central themes of magnetospheric physics. Three-dimensional (3D) magnetohydrodynamic (MHD) simulations of the Earth’s magnetotail reconnection has been performed extensively to understand the global aspects of the generation mechanisms. In this study, however, by noting that the ion inertia length is not negligibly small compared to the current sheet thickness in the magnetotail, we investigate the FAC generation mechanism in the Hall-MHD system. With an idealized one-dimensional current sheet as the initial condition, we find that the FAC pattern obtained to be totally different from the MHD results. From a series of simulations, we also find that the predominance of this new FAC pattern is not necessarily due to the small thickness of the current sheet but is controlled more by the three-dimensionality of the system. The Hall-driven FAC dominates as long as the system is more two-dimensional-like than a critical value even for a relatively thick current sheet. Since this critical value turns out to be moderate, we conclude that reconnection in the Earth’s magnetotail belongs to a general class of reconnection involving strong FACs generated by the Hall term.


  • Baker, D. N., et al., Neutral line model for substorms: Past results and present view, J. Geophys. Res., 101, 12,975–12,986, 1996.

    Article  Google Scholar 

  • Birn, J. and M. Hesse, Details of current disruption and diversion in simulations of magnetotail dynamics, J. Geophys. Res., 101, 15,345–15,354, 1996.

    Article  Google Scholar 

  • Birn, J., et al., MHD simulations of magnetotail dynamics, J. Geophys. Res., 101, 12,939–12,949, 1996.

    Article  Google Scholar 

  • Daughton, W., Kinetic theory of the drift kink instability in a current sheet, J. Geophys. Res., 103, 29,429–29,437, 1998.

    Article  Google Scholar 

  • Ergun, R. E., et al., Electron-cyclotron maser driven by charged-particle acceleration from magnetic-field-aligned electric fields, Ap. J., 2001 (in press).

  • Fujimoto, M., et al., Observations of earthward streaming electrons at the trailing boundary of a plasmoid, Geophys. Res. Lett., 24, 2893–2897, 1997.

    Article  Google Scholar 

  • Fujimoto, M., et al., Tailward electrons at the lobe-plasma sheet interface in the near-Earth tail crossed upon dipolarizations, J. Geophys. Res., 2001 (in press).

  • Hesse, M. and D. Winske, Hybrid simulations of collisionless reconnection in current sheets, J. Geophys. Res., 99, 11,177–11,185, 1994.

    Article  Google Scholar 

  • Lottermoser, R. F., et al., Ion kinetic effects in magnetic reconnection: Hybrid simulations, J. Geophys. Res., 103, 4547–4557, 1998.

    Article  Google Scholar 

  • Mandt, M. E., et al., Transition to whistler mediated magnetic reconnection, Geophys. Res. Lett., 21, 73–77, 1994.

    Article  Google Scholar 

  • McPherron, R. L., et al., Satellite studies of magnetospheric substorms on August 15, 1968, 9, Phenomenological model for substorms, J. Geophys. Res., 78, 3131–3146, 1973.

    Article  Google Scholar 

  • Mitchell, D. G., et al., Current carriers in the near-Earth cross-tail current sheet during substorm growth phase, Geophys. Res. Lett., 17, 583–587, 1990.

    Article  Google Scholar 

  • Nagai, T., et al., Structure and dynamics of magnetic reconnection during substorms with GEOTAIL observations, J. Geophys. Res., 103, 4419–4431, 1998.

    Article  Google Scholar 

  • Nakamura, M. S. and M. Fujimoto, A three-dimensional hybrid simulation of magnetic reconnection, Geophys. Res. Lett., 25, 2917–2921, 1998.

    Article  Google Scholar 

  • Nakamura, M. S., M. Fujimoto, and K. Maezawa, Ion dynamics and resultant velocity space distributions in the course of magnetic reconnection, J. Geophys. Res., 103, 4531–4540, 1998.

    Article  Google Scholar 

  • Pritchett, P. L. and F. V. Coroniti, The role of the drift kink mode in destabilizing thin current sheets, J. Geomag. Geoelectr., 48, 833–848, 1996.

    Article  Google Scholar 

  • Scholer, M. and A. Otto, Magnetotail reconnection: Current diversion and field-aligned currents, Geophys. Res. Lett., 18, 733–736, 1991.

    Article  Google Scholar 

  • Shay, M. A., et al., The scaling of collisionless magnetic reconnection for large systems, Geophys. Res. Lett., 26, 2163–2166, 1999.

    Article  Google Scholar 

  • Sonnerup, B. U. O., Magnetic field reconnection, in Solar System Plasma Physics, Vol. 3, edited by L. T. Lazerotti, et al., Oxford, 1979.

  • Terasawa, T., Hall current effect on tearing mode instability, Geophys. Res. Lett., 10, 475–479, 1983.

    Article  Google Scholar 

  • Ugai, M., Computer modeling of three dimensional dynamics of fast reconnection, J. Plasma Phys., 45, 251–262, 1991.

    Article  Google Scholar 

  • Ugai, M. and W. B. Wang, Computer simulations on three-dimensional plasmoid dynamics by the spontaneous fast reconnection model, J. Geophys. Res., 103, 4573–4581, 1998.

    Article  Google Scholar 

  • Yamade, Y., M. Fujimoto, N. Yokokawa, and M. S. Nakamura, Field-aligned-currents generated in magnetotail reconnection: 3D Hall MHD simulations, Geophys. Res. Lett., 27, 1091–1094, 2000.

    Article  Google Scholar 

  • Yoon, P. H., et al., Theory and simulation of Kelvin-Helmholtz instability in the geomagnetic tail, J. Geophys. Res., 101, 27,327–27,337, 1996.

    Article  Google Scholar 

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Correspondence to M. Fujimoto.

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Yokokawa, N., Fujimoto, M., Yamade, Y. et al. Hall effects on field-aligned current generation in three-dimensional magnetic reconnection. Earth Planet Sp 53, 501–507 (2001).

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  • Current Sheet
  • Magnetic Reconnection
  • Reconnection Region
  • Thin Current Sheet
  • Hall Term