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| Titel |
Euler potentials for the MHD Kamchatnov-Hopf soliton solution |
| VerfasserIn |
V. S. Semenov, D. B. Korovinski, H. K. Biernat |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 9, no. 3/4 ; Nr. 9, no. 3/4, S.347-354 |
| Datensatznummer |
250006548
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| Publikation (Nr.) |
 copernicus.org/npg-9-347-2002.pdf |
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| Zusammenfassung |
| In the MHD
description of plasma phenomena the concept of magnetic helicity turns out
to be very useful. We present here an example of introducing Euler
potentials into a topological MHD soliton which has non-trivial helicity.
The MHD soliton solution (Kamchatnov, 1982) is based on the Hopf invariant
of the mapping of a 3-D sphere into a 2-D sphere; it can have arbitrary
helicity depending on control parameters. It is shown how to define Euler
potentials globally. The singular curve of the Euler potential plays the
key role in computing helicity. With the introduction of Euler potentials,
the helicity can be calculated as an integral over the surface bounded by
this singular curve. A special programme for visualization is worked out.
Helicity coordinates are introduced which can be useful for numerical
simulations where helicity control is needed. |
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