dorsal/arxiv
View SchemaAxisymmetric equilibria with anisotropic resistivity and toroidal flow
| Authors | G. Poulipoulis, G. N. Throumoulopoulos, H. Tasso |
|---|---|
| Categories | |
| ArXiv ID | physics/0506140 |
| URL | https://arxiv.org/abs/physics/0506140 |
| DOI | 10.1017/S0022377805003880 |
Abstract
The equilibrium of an axisymmetric magnetically confined plasma with anisotropic resistivity and toroidal flow is investigated in the framework of magnetohydrodynamics (MHD). The stationary states are determined by an elliptic differential equation for the poloidal magnetic flux function, a Bernoulli equation for the pressure and two relations for the resistivity components parallel and perpendicular to the magnetic field. The equilibrium characteristics of a tokamak with rectangular cross-section are studied by means of eigenfunctions in connection with exact solutions for the cases of "compressible" flows with constant temperature, but varying density on magnetic surfaces and incompressible ones with constant density, but varying temperature thereon. Those eigenfunctions can describe either single or multiple toroidal configurations. In the former case the equilibrium has the following characteristics: (i) the profiles of the resistivity's components on the poloidal cross-section are roughly collisional (ii) the electric field perpendicular to the magnetic surfaces possesses two local extrema within the plasma and vanishes on the boundary and (iii) the toroidal current density is peaked close to the magnetic axis and vanishes on the boundary. The impact of the flow and the aspect ratio on the aforementioned quantities is evaluated for both "compressible" and incompressible flows.
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"abstract": "The equilibrium of an axisymmetric magnetically confined plasma with\nanisotropic resistivity and toroidal flow is investigated in the framework of\nmagnetohydrodynamics (MHD). The stationary states are determined by an elliptic\ndifferential equation for the poloidal magnetic flux function, a Bernoulli\nequation for the pressure and two relations for the resistivity components\nparallel and perpendicular to the magnetic field. The equilibrium\ncharacteristics of a tokamak with rectangular cross-section are studied by\nmeans of eigenfunctions in connection with exact solutions for the cases of\n\"compressible\" flows with constant temperature, but varying density on magnetic\nsurfaces and incompressible ones with constant density, but varying temperature\nthereon. Those eigenfunctions can describe either single or multiple toroidal\nconfigurations. In the former case the equilibrium has the following\ncharacteristics: (i) the profiles of the resistivity\u0027s components on the\npoloidal cross-section are roughly collisional (ii) the electric field\nperpendicular to the magnetic surfaces possesses two local extrema within the\nplasma and vanishes on the boundary and (iii) the toroidal current density is\npeaked close to the magnetic axis and vanishes on the boundary. The impact of\nthe flow and the aspect ratio on the aforementioned quantities is evaluated for\nboth \"compressible\" and incompressible flows.",
"arxiv_id": "physics/0506140",
"authors": [
"G. Poulipoulis",
"G. N. Throumoulopoulos",
"H. Tasso"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1017/S0022377805003880",
"title": "Axisymmetric equilibria with anisotropic resistivity and toroidal flow",
"url": "https://arxiv.org/abs/physics/0506140"
},
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