dorsal/arxiv
View SchemaResistive Magnetohydrodynamic Equilibria in a Torus
| Authors | David Montgomery, Jason W. Bates, H. Ralph Lewis |
|---|---|
| Categories | |
| ArXiv ID | physics/9610005 |
| URL | https://arxiv.org/abs/physics/9610005 |
| DOI | 10.1063/1.872195 |
Abstract
It was recently demonstrated that static, resistive, magnetohydrodynamic equilibria, in the presence of spatially-uniform electrical conductivity, do not exist in a torus under a standard set of assumed symmetries and boundary conditions. The difficulty, which goes away in the ``periodic straight cylinder approximation,'' is associated with the necessarily non-vanishing character of the curl of the Lorentz force, j x B. Here, we ask if there exists a spatial profile of electrical conductivity that permits the existence of zero-flow, axisymmetric r esistive equilibria in a torus, and answer the question in the affirmative. However, the physical properties of the conductivity profile are unusual (the conductivity cannot be constant on a magnetic surface, for example) and whether such equilibria are to be considered physically possible remains an open question.
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"abstract": "It was recently demonstrated that static, resistive, magnetohydrodynamic\nequilibria, in the presence of spatially-uniform electrical conductivity, do\nnot exist in a torus under a standard set of assumed symmetries and boundary\nconditions. The difficulty, which goes away in the ``periodic straight cylinder\napproximation,\u0027\u0027 is associated with the necessarily non-vanishing character of\nthe curl of the Lorentz force, j x B. Here, we ask if there exists a spatial\nprofile of electrical conductivity that permits the existence of zero-flow,\naxisymmetric r esistive equilibria in a torus, and answer the question in the\naffirmative. However, the physical properties of the conductivity profile are\nunusual (the conductivity cannot be constant on a magnetic surface, for\nexample) and whether such equilibria are to be considered physically possible\nremains an open question.",
"arxiv_id": "physics/9610005",
"authors": [
"David Montgomery",
"Jason W. Bates",
"H. Ralph Lewis"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1063/1.872195",
"title": "Resistive Magnetohydrodynamic Equilibria in a Torus",
"url": "https://arxiv.org/abs/physics/9610005"
},
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