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The Non-Linear Equations for the Green Function and Calculation of the Magnetic Field Turbulent Diffusivities and α-Effect

Published online by Cambridge University Press:  19 July 2016

N.A. Silant'ev*
Affiliation:
The Central Astronomical Observatory of the Russian Academy of Sciences, 196140, St. Petersburg, Pulkovo, Russia

Abstract

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The exact numerical solution of the simplest non-linear equation from the hierarchy of non-linear equations for the averaged Green function shows that such solution allows to calculate the diffusivity and α-effect coefficient with a good accuracy for an arbitrary spectra of turbulence for all values of the characteristic parameter. It is derived also the improved equation describing the evolution of admixture fluctuations in a turbulent medium which takes into account the non-linear equation for the averaged Green function.

Type
6. General Aspects of Dynamo Theory
Copyright
Copyright © Kluwer 1993 

References

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