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Analytical solutions for minimum dissipation states: flux core spheromak sustained by helicity injection

Published online by Cambridge University Press:  07 December 2005

SEBASTIAN BOUZAT  and
RICARDO FARENGO
SEBASTIAN BOUZAT
Affiliation:
Unidad de Actividad de Física, Centro Atómico Bariloche (CNEA) and Instituto Balseiro (CNEA and UNC), 8400 San Carlos de Bariloche, Argentina (bouzat@cab.cnea.gov.ar)
RICARDO FARENGO
Affiliation:
Unidad de Actividad de Física, Centro Atómico Bariloche (CNEA) and Instituto Balseiro (CNEA and UNC), 8400 San Carlos de Bariloche, Argentina (bouzat@cab.cnea.gov.ar)
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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.

Type
Papers
Information
Journal of Plasma Physics , Volume 72 , Issue 4 , August 2006 , pp. 443 - 456
Copyright
2005 Cambridge University Press

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