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1 - Introduction

Published online by Cambridge University Press:  23 December 2009

Dieter Biskamp
Affiliation:
Max-Planck-Institut für Plasmaphysik, Garching, Germany
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Summary

Since the early 1950s, when magnetohydrodynamics – MHD in short – became an established theory and along with it the concept of a “frozenin” magnetic field within an electrically conducting fluid, the problem of how magnetic field energy could be released in such a fluid has been generally acknowledged. In the early days the major impetus came from solar physics. Estimates readily showed that the energies associated with eruptive processes, notably flares, can only be stored in the coronal magnetic field, all other energy sources being by far too weak. On the other hand the high temperature in the corona, which makes the coronal plasma a particularly good electrical conductor, appeared to preclude any fast magnetic change involving diffusion. For a coronal electron temperature Te ~ 106 K the magnetic diffusivity is η ~ 104 cm2/s, hence field diffusion in a region of diameter L ~ 104 km as typically involved in a flare would require a time-scale τη = L2/η ~ 1014 s, whereas the observed flash phase of a flare takes less than ~ 103 s.

It had, however, soon been realized that the discrepancy is not quite as bad as this. Contrary to magnetic diffusion in a solid conductor, a fluid is stirred into motion by the change of the magnetic field. As it carries along the frozen-in field, it may generate steep field gradients typically located in sheet-like structures, and hence lead to much shorter diffusion times.

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Publisher: Cambridge University Press
Print publication year: 2000

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  • Introduction
  • Dieter Biskamp, Max-Planck-Institut für Plasmaphysik, Garching, Germany
  • Book: Magnetic Reconnection in Plasmas
  • Online publication: 23 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511599958.002
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  • Introduction
  • Dieter Biskamp, Max-Planck-Institut für Plasmaphysik, Garching, Germany
  • Book: Magnetic Reconnection in Plasmas
  • Online publication: 23 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511599958.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Dieter Biskamp, Max-Planck-Institut für Plasmaphysik, Garching, Germany
  • Book: Magnetic Reconnection in Plasmas
  • Online publication: 23 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511599958.002
Available formats
×