dorsal/arxiv
View SchemaPlasma metric singularities in helical devices and tearing instabilities in tokamaks
| Authors | Garcia de Andrade |
|---|---|
| Categories | |
| ArXiv ID | physics/0703014 |
| URL | https://arxiv.org/abs/physics/0703014 |
Abstract
Plasma toroidal metric singularities in helical devices and tokamaks, giving rise to magnetic surfaces inside the plasma devices are investigated in two cases. In the first we consider the case of a rotational plasma on an helical device with circular cross-section and dissipation. In this case singularities are shown to place a Ricci scalar curvature bound on the radius of the surface where the Ricci scalar is the contraction of the constant Riemannian curvature tensor of magnetic surfaces. An upper bound on the initial magnetic field in terms of the Ricci scalar is obtained. This last bound may be useful in the engineering construction of plasma devices in laboratories. The normal poloidal drift velocity is also computed. In the second case a toroidal metric is used to show that there is a relation between singularities and the type of tearing instabilities considered in the tokamak. Besides, in this case Ricci collineations and Killing symmetries are computed.The pressure is computed by applying these constraints to the pressure equations in tokamaks.
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"date_modified": "2026-03-02T18:01:17.758000Z",
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"abstract": "Plasma toroidal metric singularities in helical devices and tokamaks, giving\nrise to magnetic surfaces inside the plasma devices are investigated in two\ncases. In the first we consider the case of a rotational plasma on an helical\ndevice with circular cross-section and dissipation. In this case singularities\nare shown to place a Ricci scalar curvature bound on the radius of the surface\nwhere the Ricci scalar is the contraction of the constant Riemannian curvature\ntensor of magnetic surfaces. An upper bound on the initial magnetic field in\nterms of the Ricci scalar is obtained. This last bound may be useful in the\nengineering construction of plasma devices in laboratories. The normal poloidal\ndrift velocity is also computed. In the second case a toroidal metric is used\nto show that there is a relation between singularities and the type of tearing\ninstabilities considered in the tokamak. Besides, in this case Ricci\ncollineations and Killing symmetries are computed.The pressure is computed by\napplying these constraints to the pressure equations in tokamaks.",
"arxiv_id": "physics/0703014",
"authors": [
"Garcia de Andrade"
],
"categories": [
"physics.plasm-ph",
"gr-qc",
"math.DG",
"physics.flu-dyn"
],
"title": "Plasma metric singularities in helical devices and tearing instabilities in tokamaks",
"url": "https://arxiv.org/abs/physics/0703014"
},
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