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Title:
Analytical solutions for minimum dissipation states: flux core spheromak sustained by helicity injection
Authors:
Bouzat, Sebastian; Farengo, Ricardo
Publication:
Journal of Plasma Physics, vol. 72, Issue 4, p.443-456
Publication Date:
00/2006
Origin:
CUP
DOI:
10.1017/S0022377805004113
Bibliographic Code:
2006JPlPh..72..443B

Abstract

Analytical solutions for the minimum Ohmic dissipation states satisfying helicity balance in a cylindrical vessel with circular electrodes on the plane surfaces are presented. The solutions show the basic features of flux core spheromaks and are given in terms of Fourier Bessel series. The total plasma current and magnetic field profiles are determined for different values of resistivity, elongation and electrode radius.
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