Fourier space intermittency of the small-scale turbulent dynamo

Details Fourier space intermittency of the small-scale turbulent dynamo Fourier space intermittency of the small-scale turbulent dynamo

2003-04-29

arxiv.org/abs/astro-ph/0304540v1

Phys.Rev. E68 (2003) 026311

Astronomy and Astrophysics

Astrophysics

26 pages, 2 figures. Submitted to PRE

Scientific paper

10.1103/PhysRevE.68.026311

The small-scale turbulent dynamo in the high Prandtl number regime is described in terms of the one-point Fourier space correlators. The second order correlator of this kind is the energy spectrum and it has been previously studied in detail. We examine the higher order k-space correlators which contain important information about the phases of the magnetic wavepackets and about the dominant structures of the magnetic turbulence which cause intermittency. In particular, the fourth-order correlators contain information about the mean-square phase difference between any two components of the magnetic field in a plane transverse to the wavevector. This can be viewed as a measure of the magnetic field's polarization. Examining this new quantity, the magnetic field is shown to become plane polarized in the Kazantsev-Kraichnan model at large time, corresponding to a strong deviation from Gaussianity. We derive a closed equation for the generating function of the Fourier correlators and find the large-time asymptotic solutions of these correlators at all orders. The time scaling of these solutions implies the magnetic field has log-normal statistics, whereas the wavenumber scaling indicates that the field is dominated by intermittent fluctuations at high k.

Affiliated with

Also associated with

No associations

Rating

Fourier space intermittency of the small-scale turbulent 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 Fourier space intermittency of the small-scale turbulent dynamo, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fourier space intermittency of the small-scale turbulent dynamo will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-31122