Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-16T17:42:14.696Z Has data issue: false hasContentIssue false

Knotty invariants: structure and evolution of magnetized fluids

Published online by Cambridge University Press:  18 July 2013

Ilan Roth*
Affiliation:
Space Sciences, University of California, Berkeley, CA 94720, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is conjectured that magnetic configurations may be characterized by the embedded invariants which are extracted from their topological textures. Hence, experimentally observed magnetic structures can be classified by the invariants of the elementary building blocks of the 3-D structures - prime knots. These unique invariants may describe the magnetic configurations in ion drop-outs in solar impulsive events, in photospheric flux ropes carried into the interplanetary medium by the solar wind, and can affect the decay rates for complex magnetic configurations.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2013 

References

Alexander, J. W., 1928, Trans. Amer. Math. Society, 30, 2758.Google Scholar
Borovsky, J., 2008, Jour. Geoph. Res., 113, A08110 Google Scholar
Matthaeus, W. H. et al. 2008, Phys. Rev. Lett., 100, 085003 Google Scholar
Mazur, J. et al., 2000, Astroph. Jour., 532, L79 Google Scholar
Reidemeister, K., 1926, Abh. Math. Sem. Univ. Hamburg, 5, 24 Google Scholar