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A nonlinear theory of turbulent diffusion

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Abstract

It is shown that the well-known conservation laws for magnetic helicity and passive-scalar fluctuation intensity in the case of negligible molecular diffusion require that the hierarchy of nonlinear equations for the averaged Green function and the hierarchy of Bethe-Salpeter-type equations for fluctuation intensity be treated in a mutually consistent manner. These hierarchies are obtained to the sixth order in turbulent velocity correlators. Asymptotic formulas describing the evolution of scalar fluctuations and magnetic field are presented. A number of new effects are revealed that strongly affect diffusion, but are beyond the scope of the frequently used model of a delta-correlated turbulent field.

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Authors and Affiliations

  1. Instituto Nacional de Astrofísica, Óptica y Electrónica, Apartado Postal 51 y 216, CP 72000, Puebla, México

    N. A. Silant’ev

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  1. N. A. Silant’ev
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 125, No. 4, 2004, pp. 831–849.

Original Russian Text Copyright © 2004 by Silant’ev.

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Silant’ev, N.A. A nonlinear theory of turbulent diffusion. J. Exp. Theor. Phys. 98, 728–744 (2004). https://doi.org/10.1134/1.1757673

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