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Generation of bulk vorticity and current density in current-vortex sheet models

TitleGeneration of bulk vorticity and current density in current-vortex sheet models
Publication TypeJournal Article
Year of Publication2019
AuthorsSmith SGL, Hattori Y.
Volume33
Date Published2019/11
Type of ArticleArticle
ISBN Number1574-1818
Accession NumberWOS:000507476300010
KeywordsNon-uniform current-vortex sheet; physics; Surface Alfven wave
Abstract

Matsuoka et al. [1] present a set of equations governing the evolution of two-dimensional MHD flows using current-vortex sheets. In the resulting model the vorticity omega and current density j are zero except on the current-vortex sheets. We show that this is not true in general and that the term Delta(B x u) in the evolution equation for j does not vanish, leading to the generation of j and omega in the bulk. This means that the evolution of the system is not governed solely by the dynamics of quantities on the current-vortex sheets. A perturbative solution is derived that shows this explicitly.

DOI10.1016/j.hedp.2019.100712
Student Publication: 
No
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