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Vlasov-Maxwell equilibria: Examples from higher-curl Beltrami magnetic fields

Authors :
Brahmananda Dasgupta
M. S. Janaki
Source :
Physics of Plasmas. 19:032113
Publication Year :
2012
Publisher :
AIP Publishing, 2012.

Abstract

Stationary solutions of Vlasov-Maxwell equations are obtained by exploiting the invariants of single particle motion and lead to linear or nonlinear functional relations between current and vector potential. The nonlinear relations support various special types of magnetic configurations including multiple current sheets and magnetic field discontinuities leading to singular current layers. It is demonstrated through the examples that in one dimension, the description of the equilibrium magnetic fields obeys double or higher-curl Beltrami equation. For the linear case, such representation gives the advantage of obtaining exact analytic solutions that are expressed as a superposition of the single-curl Beltrami fields.

Details

ISSN :
10897674 and 1070664X
Volume :
19
Database :
OpenAIRE
Journal :
Physics of Plasmas
Accession number :
edsair.doi...........cf4f6225db9f512227cc30b49b866a7e
Full Text :
https://doi.org/10.1063/1.3694751