dorsal/arxiv
View SchemaElliptic and hyperelliptic magnetohydrodynamic equilibria
| Authors | H. Tasso, G. N. Throumoulopoulos |
|---|---|
| Categories | |
| ArXiv ID | physics/0404070 |
| URL | https://arxiv.org/abs/physics/0404070 |
| DOI | 10.1393/ncb/i2004-10130-x |
Abstract
The present study is a continuation of a previous one on "hyperelliptic" axisymmetric equilibria started in [Tasso and Throumoulopoulos, Phys. Plasmas 5, 2378 (1998)]. Specifically, some equilibria with incompressible flow nonaligned with the magnetic field and restricted by appropriate side conditions like "isothermal" magnetic surfaces, "isodynamicity" or P + B^2/2 constant on magnetic surfaces are found to be reducible to elliptic integrals. The third class recovers recent equilibria found in [Schief, Phys. Plasmas 10, 2677 (2003)]. In contrast to field aligned flows, all solutions found here have nonzero toroidal magnetic field on and elliptic surfaces near the magnetic axis.
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"abstract": "The present study is a continuation of a previous one on \"hyperelliptic\"\naxisymmetric equilibria started in [Tasso and Throumoulopoulos, Phys. Plasmas\n5, 2378 (1998)].\n Specifically, some equilibria with incompressible flow nonaligned with the\nmagnetic field and restricted by appropriate side conditions like \"isothermal\"\nmagnetic surfaces, \"isodynamicity\" or P + B^2/2 constant on magnetic surfaces\nare found to be reducible to elliptic integrals. The third class recovers\nrecent equilibria found in [Schief, Phys. Plasmas 10, 2677 (2003)]. In contrast\nto field aligned flows, all solutions found here have nonzero toroidal magnetic\nfield on and elliptic surfaces near the magnetic axis.",
"arxiv_id": "physics/0404070",
"authors": [
"H. Tasso",
"G. N. Throumoulopoulos"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1393/ncb/i2004-10130-x",
"title": "Elliptic and hyperelliptic magnetohydrodynamic equilibria",
"url": "https://arxiv.org/abs/physics/0404070"
},
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