Resonant oscillations in $α^{2}$-dynamos on a closed, twisted Riemannian 2D flux tubes

Details Resonant oscillations in $α^{2}$-dynamos on a closed, twisted Riemannian 2D flux tubes Resonant oscillations in $α^{2}$-dynamos on a closed, twisted Riemannian 2D flux tubes

2009-06-16

arxiv.org/abs/0906.2844v1

Physics

Plasma Physics

Department of theoretical physics, IF-UERJ-Brasil

Scientific paper

Chicone et al [CMP (1995)] have shown that, kinematic fast dynamos in diffusive media, could exist only on a closed, 2D Riemannian manifold of constant negative curvature. This report, shows that their result cannot be extended to oscillatory ${\alpha}^{2}$-dynamos, when there are resonance modes, between toroidal and poloidal frequencies of twisted magnetic flux tubes. Thus, dynamo action can be supported in regions, where Riemannian curvature is positive. For turbulent dynamos, this seems physically reasonable, since recently, [Shukurov et al PRE (2008)] have obtained a Moebius flow strip in sodium liquid, torus Perm dynamo where curvature is also connected to the magnetic fields via diffusion. This could be done, by adjusting the corresponding frequencies till they achieved resonance. Actually 2D torus, is a manifold of zero mean curvature, where regions of positive and negative curvatures exist. It is shown that, Riemannian solitonic surface, endowed with a steady ${\alpha}^{2}$-dynamo from magnetic filamentary structures [Wilkin et al,PRL (2007)].

Affiliated with

Also associated with

No associations

Rating

Resonant oscillations in $α^{2}$-dynamos on a closed, twisted Riemannian 2D flux tubes 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 Resonant oscillations in $α^{2}$-dynamos on a closed, twisted Riemannian 2D flux tubes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonant oscillations in $α^{2}$-dynamos on a closed, twisted Riemannian 2D flux tubes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-475383