dorsal/arxiv
View SchemaMHD dynamo generation via Riemannian soliton theory
| Authors | L. C. Garcia de Andrade |
|---|---|
| Categories | |
| ArXiv ID | physics/0510057 |
| URL | https://arxiv.org/abs/physics/0510057 |
Abstract
Heisenberg spin equation equivalence to nonlinear Schr\"{o}dinger equation recently demonstrated by Rogers and Schief, is applied to the investigation of vortex filaments in magnetohydrodynamics (MHD) dynamos. The use of Gauss-Mainard-Codazzi equations allows us to investigate in detail the influence of curvature and torsion of vortex filaments in the MHD dynamos. This application follows closely previous applications to Heisenberg spin equation to the investigations in magnetohydrostatics given by Schief (Plasma Physics J.-2003).
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"abstract": "Heisenberg spin equation equivalence to nonlinear Schr\\\"{o}dinger equation\nrecently demonstrated by Rogers and Schief, is applied to the investigation of\nvortex filaments in magnetohydrodynamics (MHD) dynamos. The use of\nGauss-Mainard-Codazzi equations allows us to investigate in detail the\ninfluence of curvature and torsion of vortex filaments in the MHD dynamos. This\napplication follows closely previous applications to Heisenberg spin equation\nto the investigations in magnetohydrostatics given by Schief (Plasma Physics\nJ.-2003).",
"arxiv_id": "physics/0510057",
"authors": [
"L. C. Garcia de Andrade"
],
"categories": [
"physics.plasm-ph"
],
"title": "MHD dynamo generation via Riemannian soliton theory",
"url": "https://arxiv.org/abs/physics/0510057"
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