No CrossRef data available.
Article contents
MHD Kamchatnov-Hopf soliton in the model of primordial solar nebula
Published online by Cambridge University Press: 01 September 2008
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.
Stereographic projection of Hopf field on the 3-sphere into Euclidean 3-space is used as a model of 3D steady flow of ideal compressible fluid in MHD. In such case, flow lines are Villarceau circles lying on tori corresponding to the levels of Bernoulli function. Existence of an optimal torus with minimal relative surface free energy is shown. Beat of oscillations with wave numbers corresponding to structural radii of optimal torus leads to scaling of optimal tori. Spatial intersection of homothetic tori within one torus result in formation of cluster with the size depending on scaling factor. Optimal tori are considered as precursors of planetary orbits.
Keywords
- Type
- Contributed Papers
- Information
- Proceedings of the International Astronomical Union , Volume 4 , Symposium S257: Universal Heliophysical Processes , September 2008 , pp. 523 - 525
- Copyright
- Copyright © International Astronomical Union 2009
References
Semenov, V. S., Korovinski, D. B., & Biernat, H. K. 2001, preprint (arXiv: physics/0111212v1)Google Scholar
Arnold, V. I. & Khesin, B. A. 1998, in Topological Methods in Hydrodynamics, (Springer-Verlag, New York)CrossRefGoogle Scholar
Gibbons, G. W. 2006, Applications of Differential Geometry to Physics Part III (Cambridge University, Great Britain)Google Scholar
You have
Access