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Memory Effects in Turbulent Transport
Stockholm University, Faculty of Science, Department of Astronomy.
2009 (English)In: Astrophysical Journal, ISSN 0004-637X, E-ISSN 1538-4357, Vol. 706, 712-726 p.Article in journal (Refereed) Published
Abstract [en]

In the mean-field theory of magnetic fields, turbulent transport, i.e., the turbulent electromotive force is described by a combination of the α effect and turbulent magnetic diffusion, which are usually assumed to be proportional, respectively, to the mean field and its spatial derivatives. For a passive scalar, there is just turbulent diffusion, where the mean flux of concentration depends on the gradient of the mean concentration. However, these proportionalities are approximations that are valid only if the mean field or the mean concentration vary slowly in time. Examples are presented where turbulent transport possesses memory, i.e., where it depends crucially on the past history of the mean field. Such effects are captured by replacing turbulent transport coefficients with time integral kernels, resulting in transport coefficients that depend effectively on the frequency or the growth rate of the mean field itself. In this paper, we perform numerical experiments to find the characteristic timescale (or memory length) of this effect as well as simple analytical models of the integral kernels in the case of passive scalar concentrations and kinematic dynamos. The integral kernels can then be used to find self-consistent growth or decay rates of the mean fields. In mean-field dynamos, the growth rates and cycle periods based on steady state values of α effect, and turbulent diffusivity can be quite different from the actual values.

Place, publisher, year, edition, pages
2009. Vol. 706, 712-726 p.
Keyword [en]
MHD, turbulence
URN: urn:nbn:se:su:diva-32535DOI: 10.1088/0004-637X/706/1/712ISI: 000271538900058ISBN: 0004-637XOAI: diva2:282394
Available from: 2009-12-20 Created: 2009-12-12 Last updated: 2011-02-15Bibliographically approved

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