Current-sheet formation in incompressible electron magnetohydrodynamics
Plasma Physics
2009-11-07 v2
Abstract
The nonlinear dynamics of axisymmetric, as well as helical, frozen-in vortex structures is investigated by the Hamiltonian method in the framework of ideal incompressible electron magnetohydrodynamics. For description of current-sheet formation from a smooth initial magnetic field, local and nonlocal nonlinear approximations are introduced and partially analyzed that are generalizations of the previously known exactly solvable local model neglecting electron inertia. Finally, estimations are made that predict finite-time singularity formation for a class of hydrodynamic models intermediate between that local model and the Eulerian hydrodynamics.
Keywords
Cite
@article{arxiv.physics/0110023,
title = {Current-sheet formation in incompressible electron magnetohydrodynamics},
author = {V. P. Ruban},
journal= {arXiv preprint arXiv:physics/0110023},
year = {2009}
}
Comments
REVTEX4, 5 pages, no figures. Introduction rewritten, new material and references added