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Linear MHD Equilibria in Toroidal Geometry - Exact and Approximate Solution
KTH. (Fusionsplasmafysik)ORCID iD: 0000-0001-6379-1880
1984 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 30, p. 216-Article in journal (Refereed) Published
Abstract [en]

The linear Grad-Shafranov equation for a toroidal, axisymmetric plasma is solved analytically. Exact solutions are given in terms of confluent hyper-geometric functions. As an alternative, simple and accurate WKBJ solutions are presented. With parabolic pressure profiles, both hollow and peaked toroidal current density profiles are obtained. As an example the equilibrium of a z-pinch with a square-shaped cross section is derived.

Place, publisher, year, edition, pages
1984. Vol. 30, p. 216-
National Category
Natural Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kth:diva-240875OAI: oai:DiVA.org:kth-240875DiVA, id: diva2:1275211
Note

QCR 20190128

Available from: 2019-01-04 Created: 2019-01-04 Last updated: 2019-01-28Bibliographically approved

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http://iopscience.iop.org.focus.lib.kth.se/article/10.1088/0031-8949/30/5/011

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