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The stability properties of cylindrical force-free fields: effect of an external potential field

Published online by Cambridge University Press:  13 March 2009

C. Chiuderi ,
G. Einaudi ,
S. S. Ma  and
G. van Hoven
C. Chiuderi
Affiliation:
Istituto di Astronomia, Università di Firenze, Italy
G. Einaudi
Affiliation:
Istituto di Fisica, Università di Pisa, Italy
S. S. Ma
Affiliation:
Department of Physics, University of California, Irvine, U.S.A.
G. van Hoven
Affiliation:
Department of Physics, University of California, Irvine, U.S.A.
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Abstract

A large-scale potential field with an embedded smaller-scale force-free structure (∇ × B = αB) is studied in cylindrical geometry. We consider cases in which α goes continuously from a constant value α0 on the axis to zero at large r. Such a choice of α(r) produces fields which are realistic (few field reversals) but not completely stable. The MHD-unstable wavenumber regime is found. Since the considered equilibrium field exhibits a certain amount of magnetic shear, resistive instabilities can arise. The growth rates of the tearing mode in the limited MHD-stable region of º space are calculated, showing time-scales much shorter than the resistive decay time.

Type
Research Article
Information
Journal of Plasma Physics , Volume 24 , Issue 1 , August 1980 , pp. 39 - 53
Copyright
Copyright © Cambridge University Press 1980

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