Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space
| dc.creator | de Andrade, Garcia | |
| dc.date | 2007-12-23 | |
| dc.date.accessioned | 2026-07-07T08:51:09Z | |
| dc.date.available | 2026-07-07T08:51:09Z | |
| dc.description | Analytical solution of $α$-dynamo equation representing strongly torsioned helical dynamo is obtained in the thin twisted Riemannian flux tubes approximation. The $α$ 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 $r^{-3}$. | |
| dc.description | Departamento de Fisica Teorica-IF-UERJ-Brasil | |
| dc.identifier | https://arxiv.org/abs/0712.3903 | |
| dc.identifier | http://arxiv.org/abs/0712.3903 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144841 | |
| dc.subject | Astrophysics | |
| dc.title | Helical $α$-dynamos as twisted magnetic flux tubes in Riemannian space | |
| dc.type | text |