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Volume 61 Supplement 5

Special Issue: Flare-Substorm/Space Weather Topics

Three-dimensional non-linear instability of spontaneous fast magnetic reconnection

Abstract

Three-dimensional instability of spontaneous fast magnetic reconnection is studied using MHD (magnetohydro- dynamic) simulation. Previous two-dimensional MHD studies have demonstrated that, if a current-driven anomalous resistivity is assumed, two-dimensional fast magnetic reconnection occurs and two-dimensional largescale magnetic loops, i.e., plasmoids, are ejected from the reconnection region. In most two-dimensional MHD studies, the structure of the current sheet is initially one-dimensinal. On the other hand, in recent space plasma observations, fully three-dimensional magnetic loops frequently appear even in the almost one-dimensional current sheet. This suggests that the classical two-dimensional fast magnetic reconnection may be unstable to any three-dimensional perturbation, resulting in three-dimensional fast magnetic reconnection. In this paper, we show that a three-dimensional resistive perturbation destabilizes two-dimensional fast magnetic reconnection and results in three-dimensional fast magnetic reconnection. The resulting three-dimensional fast reconnection repeatedly ejects three-dimensional magnetic loops downstream. The obtained numerical results are similar to the pulsating downflows observed in solar flares. According to the Fourier analysis of the ejected magnetic loops, the time evolution of this three-dimensional instability is fully non-linear.

References

  • Asai, A., T. Yokoyama, M. Shimojo, and K. Shibata, Downflow motions associated with Impulsive nonthermal emissions observed in the 2002 July 23 Solar Flare, Astrophys. J., 605, L77, 2004.

    Article  Google Scholar 

  • Linton, M. and D. Longcope, A Model for Patchy Reconnection in Three Dimensions, Astrophys. J., 642, 1177–1192, 2006.

    Article  Google Scholar 

  • Masuda, S., T. Kosugi, H. Hara, S. Tsuneta, and Y. Ogawara, Loop-top impulsive hard X-ray source of a solar flare as evidence for magnetic reconnection, Nature, 371, 495–497, 1994.

    Article  Google Scholar 

  • Shibata, K., New Observational Facts about Solar Flares from Yohkoh Studies—Evidence of Magnetic Reconnection and a Unified Model of Flares, Adv. Space Res., 17, 9–18, 1996.

    Article  Google Scholar 

  • Shibata, K. and S. Tanuma, Plasmoid-induced-reconnection and fractal reconnection, Earth Planets Space, 53, 473–482, 2001.

    Article  Google Scholar 

  • Shibata, K., S. Masuda, M. Shimojo, H. Hara, T. Yokoyama, S. Tsuneta, T. Kosugi, and Y. Ogawara, Hot plasma ejections associated with Compact-Loop solar flares, Astrophys. J., 451, L83, 1995.

    Google Scholar 

  • Ugai, M., Strong loop heating by the fast reconnection in a closed system, Geophys. Res. Lett., 14, 103–106, 1987.

    Article  Google Scholar 

  • Ugai, M., Basic physical mechanism of reconnection development and magnetic loop dynamics, J. Geophys. Res., 104(A4), 6929–6939, 1999.

    Article  Google Scholar 

  • Ugai, M. and T. Tsuda, Magnetic field-line reconnexion by localized enhancement of resistivity, 1. Evolution in a compressible MHD fluid, J. Plasma Phys., 17, 337–351, 1977.

    Article  Google Scholar 

  • Ugai, M. and T. Shimizu, Computer studies on the spontaneous fast reconnection mechanism in three dimensions, Phys. Plasmas, 3, 853–862, 1996.

    Article  Google Scholar 

  • Ugai, M., K. Kondoh, and T. Shimizu, Computer studies on the threedimensional spontaneous fast reconnection model as a nonlinear instability, Phys. Plasmas, 11, 1416–1423, 2004.

    Article  Google Scholar 

  • Ugai, M., K. Kondoh, and T. Shimizu, Spontaneous fast reconnection in three dimensions, Phys. Plasmas, 12, 042903, 2005.

    Article  Google Scholar 

  • Yokoyama, Y., K. Akita, T. Morimoto, K. Inoue, and J. Newmark, Clear evidence of reconnection inflow of a solar flare, Astrophys. J., 546, L69, 2001.

    Article  Google Scholar 

Download references

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Correspondence to T. Shimizu.

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Shimizu, T., Kondoh, K. & Ugai, M. Three-dimensional non-linear instability of spontaneous fast magnetic reconnection. Earth Planet Sp 61, 569–572 (2009). https://doi.org/10.1186/BF03352924

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  • DOI: https://doi.org/10.1186/BF03352924

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