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6 - Magnetic Flux Tubes

Published online by Cambridge University Press:  15 July 2019

Bernard Roberts
Bernard Roberts
Affiliation:
University of St Andrews, Scotland
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Summary

The modes of oscillation of a magnetic flux tube are explored, working from the fundamental differential equations obtained in Chapter 3. Sausage modes and kink modes (as in a magnetic slab) are investigated and their dispersion relations understood. Fluting modes also occur. Dispersion relations and diagrams, each similar to those arising in a slab, are derived and displayed, for both photospheric and coronal conditions. Leaky waves are explored. Resonant absorption in a flux tube is examined, with the decay rate obtained for a $\beta = 0$ tube. Two profiles of density across a thin layer on the boundary of the tube are explored, the linear profile and the sinusoidal profile, with decay rates obtained for both.

Keywords

magnetic flux tubesdispersion relationssausage modeskink modesfluting modeslow beta plasmaresonant absorption
Type
Chapter
Information
MHD Waves in the Solar Atmosphere , pp. 139 - 181
Publisher: Cambridge University Press
Print publication year: 2019

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  • Magnetic Flux Tubes
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108613774.007
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  • Magnetic Flux Tubes
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108613774.007
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.

  • Magnetic Flux Tubes
  • Bernard Roberts, University of St Andrews, Scotland
  • Book: MHD Waves in the Solar Atmosphere
  • Online publication: 15 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108613774.007
Available formats
×