Physics
Scientific paper
Nov 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..dppqp1009h&link_type=abstract
American Physical Society, 44th Annual Meeting of the Division of Plasma , abstract #QP1.009
Physics
Scientific paper
A Fokker-Planck model of the evolution of the magnetic energy spectrum M(k,t) in the MHD dynamo problem is extended to the nonlinear regime where the magnetic field is strong enough to affect the flow. Our model applies to conducting turbulent media with large magnetic Prandtl numbers. Such a physical regime is common in astrophysical plasmas found in the warm interstellar medium, protogalaxies, early Universe, accretion discs, etc. The physics of dynamo generation of magnetic fields is also of interest in fusion energy research. We find that, while the transfer of magnetic energy from very small (subviscous) scales to the outer scale of the turbulence may be possible, it occurs only very slowly at the resistive, rather than dynamical, time scale, at least given the assumptions in this model. The Fokker-Planck model also includes some of the numerical effects of dealiasing, enhancing its usefulness for comparisons with simulations. We will present detailed comparisons with direct numerical simulations of forced MHD turbulence.
Cowley Steve C.
Hammett Gregory W.
Maron Jason L.
Schekochihin Alexander A.
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