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A strong limitation on the rapidity of flux-pile-up reconnection

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Abstract

The reconnection rate which can be achieved in the steady-state flux-pile-up regime is severely limited by the gas pressure of the plasma. Using the family of solutions obtained previously by Priest and Forbes, we show that the Alfvén Mach number of the plasma flowing towards the reconnection site cannot exceed πβ e/(8 ln R me), where β e and R me are the plasma β and magnetic Reynolds numbers at large distance. This limit corresponds to a very weak flux-pile-up, and it is a factor of β e slower than the maximum Petschek rate. Thus the maximum flux-pile-up reconnection rate in the corona is at least two orders of magnitude smaller than the rate implied by flare observations.

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References

  • Besser, B. P., Biernat, H. K., and Rijnbeek, R. R.: 1990, Planet. Space Sci. 38, 411.

    Google Scholar 

  • Craig, I. J. D. and Henton, S. M.: 1995, Astrophys. J. 450, 280.

    Google Scholar 

  • Jardine, M., Allen, H. R., Grundy, R. E., and Priest, E. R.: 1992, J. Geophys. Res. 97, 4199.

    Google Scholar 

  • Martin, S. F., Livi, S. H. B., and Wang, J.: 1985, Australian J. Phys. 38, 929.

    Google Scholar 

  • Parker, E. N.: 1973, J. Plasma Phys. 9, 49.

    Google Scholar 

  • Phan, T. D. and Sonnerup, B. U. Ö: 1990, J. Plasma Phys. 44, 525.

    Google Scholar 

  • Priest, E. R. and Forbes, T. G.: 1986, J. Geophys. Res. 91, 5579.

    Google Scholar 

  • Priest, E. R.: 1996, in Solar and Astrophysical MHD Flows (ed. K. Tsiganos), Kluwer, in press.

  • Priest, E. R., Parnell, C. E., and Martin, S. F.: 1994, Astrophys. J. 427, 459.

    Google Scholar 

  • Sonnerup, B. U. Ö. and Priest, E. R.: 1975, J. Plasma Phys. 14, 283.

    Google Scholar 

  • Spanier, J. and Oldham, K. B.: 1987, An Atlas of Functions, Hemisphere, New York.

    Google Scholar 

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Authors and Affiliations

  1. Institute for the Study of Earth, Oceans, and Space, University of New Hampshire, 03824-3525, Durham, NH, U.S.A.

    Y. E. Litvinenko & T. G. Forbes

  2. Department of Mathematical and Computational Sciences, University of St. Andrews, KY16 9SS, St. Andrews, Scotland, UK

    E. R. Priest

Authors
  1. Y. E. Litvinenko
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  2. T. G. Forbes
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  3. E. R. Priest
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Litvinenko, Y.E., Forbes, T.G. & Priest, E.R. A strong limitation on the rapidity of flux-pile-up reconnection. Sol Phys 167, 445–448 (1996). https://doi.org/10.1007/BF00146353

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  • DOI: https://doi.org/10.1007/BF00146353

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