Physics
Scientific paper
Dec 1962
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1962phrv..128.2016v&link_type=abstract
Physical Review, vol. 128, Issue 5, pp. 2016-2021
Physics
69
Scientific paper
A formalism for treating the stability of force-free magnetic fields (∇×B=αB) based on the energy principle of Bernstein et al. is derived. An example is given to shown that force-free fields with constant α may be unstable, though previous papers give arguments in favor of the stability of such fields. It is found that the cylindrically symmetric force-free field given by Lundquist is unstable if and only if αr0 (where r0 is the radius of the cylinder) exceeds the critical value 3.176. The unstable displacements have small growth rates. They are of the screw or kink type, their wavelengths along the axis having a minimum of about seven times the critical cylinder radius. The results are applied to the arms of spiral galaxies, correcting Trehan's statement that some force-free fields with constant α have a stabilizing effect on gravitational instability.
Callebaut Dirk K.
Voslamber Dietrich
No associations
LandOfFree
Stability of Force-Free Magnetic Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability of Force-Free Magnetic Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of Force-Free Magnetic Fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1586772