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

Stefan G. Llewellyn Smith, Yuji Hattori

Research output: Contribution to journalArticlepeer-review


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 ω 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 Δ(B × u) in the evolution equation for j does not vanish, leading to the generation of j and ω 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.

Original languageEnglish
Article number100712
JournalHigh Energy Density Physics
Publication statusPublished - 2019 Nov


  • Non-uniform current-vortex sheet
  • Surface Alfvén wave

ASJC Scopus subject areas

  • Radiation
  • Nuclear and High Energy Physics


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