Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space

Details Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space

2007-12-23

arxiv.org/abs/0712.3903v1

Astronomy and Astrophysics

Astrophysics

Departamento de Fisica Teorica-IF-UERJ-Brasil

Scientific paper

Analytical solution of ${\alpha}$-dynamo equation representing strongly torsioned helical dynamo is obtained in the thin twisted Riemannian flux tubes approximation. The $\alpha$ factor possesses a fundamental contribution from torsion which is however weaken in the thin tubes approximation. It is shown that assuming that the poloidal component of the magnetic field is in principle time-independent, the toroidal magnetic field component grows very fast in time, actually it possesses a linear time dependence, while the poloidal component grows under the influence of torsion or twist of the flux tube. The toroidal component decays spatially with as $r^{-2}$ while vorticity may decay as $r^{-5}$ (poloidal component) where r represents the radial distance from the magnetic axis of flux tube. Toroidal component of vorticity decays as $r^{-1}$. In turbulent dynamos unbounded magnetic fields may decay at least as $r^{-3}$.

Affiliated with

Also associated with

No associations

Rating

Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space 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 Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36257