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Calculation of magnetic field turbulent diffusivities and α-effect
Authors:N A Silant'ev
Institution:1. Instituto Nacional de Astrofisica, Optica y Electronica , Apartado Postal 51 y 216 Z. P. 72000 Puebla, Pue, Mexico;2. Main Astronomical Observatory of Russian Academy of Sciences , Pulkovo, 196140, St.-Petersburg, Russia
Abstract:Abstract

First the exact numerical solutions of DIA system of equations describing the transportation of magnetic field in an infinite medium are presented. It is assumed that the turbulence is stationary, homogeneous, isotropic and incompressible. The spectra of turbulence of δ-type and Kolmogorov's type were used. The steady state values of magnetic field diffusivity DT and the α-effect coefficient α T were calculated for various values of space-scale and lifetimes of these spectra and the spectra of helicity. Also investigated is the dependence of DT and α T on the degree of helicity. The corrections to the α T -coefficient due to the contribution of four-order velocity correlators are given. The results are compared with those due to the self-consistent technique.
Keywords:Turbulent diffusion  magnetic fields
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