dorsal/arxiv
View SchemaNonlinear axisymmetric resistive magnetohydrodynamic equilibria with toroidal flow
| Authors | G. N. Throumoulopoulos |
|---|---|
| Categories | |
| ArXiv ID | physics/9709022 |
| URL | https://arxiv.org/abs/physics/9709022 |
| DOI | 10.1017/S0022377897006338 |
Abstract
The equilibrium of a resistive axisymmetric plasma with purely toroidal flow surrounded by a conductor is investigated within the framework of the nonlinear magnetohydrodynamic theory. It is proved that a) the poloidal current density vanishes and b) apart from an idealized case the pressure profile should vanish on the plasma boundary. For the cases of isothermal magnetic surfaces, isentropic magnetic surfaces and magnetic surfaces with constant density, the equilibrium states obey to an elliptic partial differential equation for the poloidal magnetic flux function, which is identical in form to the corresponding equation governing ideal equilibria. The conductivity, which can not be either uniform or a surface quantity, results however in a restriction of the possible classes of equilibrium solutions, e.g., for the cases considered the only possible equilibria with Spitzer conductivity are of cylindrical shape.
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"abstract": "The equilibrium of a resistive axisymmetric plasma with purely toroidal flow\nsurrounded by a conductor is investigated within the framework of the nonlinear\nmagnetohydrodynamic theory. It is proved that a) the poloidal current density\nvanishes and b) apart from an idealized case the pressure profile should vanish\non the plasma boundary. For the cases of isothermal magnetic surfaces,\nisentropic magnetic surfaces and magnetic surfaces with constant density, the\nequilibrium states obey to an elliptic partial differential equation for the\npoloidal magnetic flux function, which is identical in form to the\ncorresponding equation governing ideal equilibria. The conductivity, which can\nnot be either uniform or a surface quantity, results however in a restriction\nof the possible classes of equilibrium solutions, e.g., for the cases\nconsidered the only possible equilibria with Spitzer conductivity are of\ncylindrical shape.",
"arxiv_id": "physics/9709022",
"authors": [
"G. N. Throumoulopoulos"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1017/S0022377897006338",
"title": "Nonlinear axisymmetric resistive magnetohydrodynamic equilibria with toroidal flow",
"url": "https://arxiv.org/abs/physics/9709022"
},
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