The Kraichnan-Kazantsev dynamo

Details The Kraichnan-Kazantsev dynamo The Kraichnan-Kazantsev dynamo

2001-06-27

arxiv.org/abs/physics/0106090v1

J. Stat. Phys., 106, 1073-1091 (2002)

Physics

Fluid Dynamics

16 pages, 6 figures

Scientific paper

The problem of the dynamo effect for a Kraichnan incompressible helicity-free velocity field is considered. Exploiting a quantum formalism first introduced by Kazantsev (A.P. Kazantsev, Sov. Phys. JETP 26, 1031-1034 (1968)), we show that a critical magnetic Reynolds number exists for the presence of dynamo. The value of the Prandtl number influences the spatial distribution of the magnetic field and its growth in time. The magnetic field correlation length is always the largest between the diffusive scale and the viscous scale of the flow. In the same way the field growth is characterized by a time scale that corresponds to the largest between the diffusive and the viscous characteristic time.

Affiliated with

Also associated with

No associations

Rating

The Kraichnan-Kazantsev dynamo 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 The Kraichnan-Kazantsev dynamo, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Kraichnan-Kazantsev dynamo will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406708