dorsal/arxiv
View SchemaCurrent-sheet formation in incompressible electron magnetohydrodynamics
| Authors | V. P. Ruban |
|---|---|
| Categories | |
| ArXiv ID | physics/0110023 |
| URL | https://arxiv.org/abs/physics/0110023 |
| DOI | 10.1103/PhysRevE.65.047401 |
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.
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"abstract": "The nonlinear dynamics of axisymmetric, as well as helical, frozen-in vortex\nstructures is investigated by the Hamiltonian method in the framework of ideal\nincompressible electron magnetohydrodynamics. For description of current-sheet\nformation from a smooth initial magnetic field, local and nonlocal nonlinear\napproximations are introduced and partially analyzed that are generalizations\nof the previously known exactly solvable local model neglecting electron\ninertia. Finally, estimations are made that predict finite-time singularity\nformation for a class of hydrodynamic models intermediate between that local\nmodel and the Eulerian hydrodynamics.",
"arxiv_id": "physics/0110023",
"authors": [
"V. P. Ruban"
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"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.65.047401",
"title": "Current-sheet formation in incompressible electron magnetohydrodynamics",
"url": "https://arxiv.org/abs/physics/0110023"
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