dorsal/arxiv
View SchemaExact solutions for reconnective annihilation in magnetic configurations with three sources
| Authors | E. Tassi, V. S. Titov, G. Hornig |
|---|---|
| Categories | |
| ArXiv ID | physics/0212009 |
| URL | https://arxiv.org/abs/physics/0212009 |
| DOI | 10.1063/1.1540094 |
Abstract
Exact solutions of the steady resistive three dimensional (3D) magnetohydrodynamics (MHD) equations in cylindrical coordinates for an incompressible plasma are presented. The solutions are translationally invariant along one direction and in general they describe a process of reconnective annihilation in a curved current layer with non vanishing magnetic field. In the derivation of the solutions the ideal case with vanishing resistivity and electric field is considered first and then generalized to include the effects of finite electric field and resistivity. Particular attention is devoted to the analysis how the latter ones influence the presence of singularities in the solutions. In this respect comparisons with the purely two-dimensional case are made and the resulting important differences are highlighted. Finally, applications of the solutions for modeling an important class of solar flares are discussed.
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"abstract": "Exact solutions of the steady resistive three dimensional (3D)\nmagnetohydrodynamics (MHD) equations in cylindrical coordinates for an\nincompressible plasma are presented. The solutions are translationally\ninvariant along one direction and in general they describe a process of\nreconnective annihilation in a curved current layer with non vanishing magnetic\nfield. In the derivation of the solutions the ideal case with vanishing\nresistivity and electric field is considered first and then generalized to\ninclude the effects of finite electric field and resistivity. Particular\nattention is devoted to the analysis how the latter ones influence the presence\nof singularities in the solutions. In this respect comparisons with the purely\ntwo-dimensional case are made and the resulting important differences are\nhighlighted. Finally, applications of the solutions for modeling an important\nclass of solar flares are discussed.",
"arxiv_id": "physics/0212009",
"authors": [
"E. Tassi",
"V. S. Titov",
"G. Hornig"
],
"categories": [
"physics.plasm-ph",
"physics.space-ph"
],
"doi": "10.1063/1.1540094",
"title": "Exact solutions for reconnective annihilation in magnetic configurations with three sources",
"url": "https://arxiv.org/abs/physics/0212009"
},
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