dorsal/arxiv
View SchemaExact magnetohydrodynamic equilibria with flow and effects on the Shafranov shift
| Authors | G. N. Throumoulopoulos, G. Poulipoulis, G. Pantis, H. Tasso |
|---|---|
| Categories | |
| ArXiv ID | physics/0306176 |
| URL | https://arxiv.org/abs/physics/0306176 |
| DOI | 10.1016/j.physleta.2003.09.005 |
| Journal | Physics Letter A 317 (2003) 463-469 |
Abstract
Exact solutions of the equation governing the equilibrium magetohydrodynamic states of an axisymmetric plasma with incompressible flows of arbitrary direction [H. Tasso and G.N.Throumoulopoulos, Phys. Pasmas {\bf 5}, 2378 (1998)] are constructed for toroidal current density profiles peaked on the magnetic axis in connection with the ansatz $S=-ku$, where $S=d/d u [\varrho (d\Phi/du)^2]$ ($k$ is a parameter, $u$ labels the magnetic surfaces; $\varrho(u)$ and $\Phi(u)$ are the density and the electrostatic potential, respectively). They pertain to either unbounded plasmas of astrophysical concern or bounded plasmas of arbitrary aspect ratio. For $k=0$, a case which includes flows parallel to the magnetic field, the solutions are expressed in terms of Kummer functions while for $k\neq 0$ in terms of Airy functions. On the basis of a tokamak solution with $k\neq 0$ describing a plasma surrounded by a perfectly conducted boundary of rectangular cross-section it turns out that the Shafranov shift is a decreasing function which can vanish for a positive value of $k$. This value is larger the smaller the aspect ratio of the configuration.
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"abstract": "Exact solutions of the equation governing the equilibrium magetohydrodynamic\nstates of an axisymmetric plasma with incompressible flows of arbitrary\ndirection [H. Tasso and G.N.Throumoulopoulos, Phys. Pasmas {\\bf 5}, 2378\n(1998)] are constructed for toroidal current density profiles peaked on the\nmagnetic axis in connection with the ansatz $S=-ku$, where $S=d/d u [\\varrho\n(d\\Phi/du)^2]$ ($k$ is a parameter, $u$ labels the magnetic surfaces;\n$\\varrho(u)$ and $\\Phi(u)$ are the density and the electrostatic potential,\nrespectively). They pertain to either unbounded plasmas of astrophysical\nconcern or bounded plasmas of arbitrary aspect ratio. For $k=0$, a case which\nincludes flows parallel to the magnetic field, the solutions are expressed in\nterms of Kummer functions while for $k\\neq 0$ in terms of Airy functions. On\nthe basis of a tokamak solution with $k\\neq 0$ describing a plasma surrounded\nby a perfectly conducted boundary of rectangular cross-section it turns out\nthat the Shafranov shift is a decreasing function which can vanish for a\npositive value of $k$. This value is larger the smaller the aspect ratio of the\nconfiguration.",
"arxiv_id": "physics/0306176",
"authors": [
"G. N. Throumoulopoulos",
"G. Poulipoulis",
"G. Pantis",
"H. Tasso"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1016/j.physleta.2003.09.005",
"journal_ref": "Physics Letter A 317 (2003) 463-469",
"title": "Exact magnetohydrodynamic equilibria with flow and effects on the Shafranov shift",
"url": "https://arxiv.org/abs/physics/0306176"
},
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