Vortex Lines and Monopoles in Electrically Conducting Plasmas

Based on the φ-mapping topological current theory and the decomposition of gauge potential theory, the vortex lines and the monopoles in electrically conducting plasmas are studied. It is pointed out that these two topological structures respectively inhere in two-dimensional and three-dimensional t...

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Bibliographic Details
Published in:Communications in theoretical physics 2009-02, Vol.51 (2), p.335-340
Main Author: WANG Ji-Biao REN Ji-Rong LI Ran
Format: Article
Language:English
Subjects:
三维拓扑
拓扑理论
拓扑结构
磁单极
等离子体
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Summary:Based on the φ-mapping topological current theory and the decomposition of gauge potential theory, the vortex lines and the monopoles in electrically conducting plasmas are studied. It is pointed out that these two topological structures respectively inhere in two-dimensional and three-dimensional topological currents, which can be derived from the same topological term n^→·（Эin^→×Эjn^→）, and both these topological structures axe characterized by the φ-mapping topological numbers-Hopf indices and Brouwer degrees. Furthermore, the spatial bifurcation of vortex lines and the generation and annihilation of monopoles are also discussed. At last, we point out that the Hopf invaxiant is a proper topological invaxiant to describe the knotted solitons.
ISSN:0253-6102
DOI:10.1088/0253-6102/51/2/29