Abstract
We consider a particular model of magnetohydrodynamic turbulents. The most fundamental assumption we make is that the velocity correlation time is negligible. By using a selective summation of the perturbation theory series an exact equation for the magnetic field is obtained when the mean square value of the velocity depends on coordinates, i.e., when the turbulence isinhomogeneous. The result makes it possible to obtain the “macroscopic” Maxwell's equations, i.e., the equations for the large-scale components of the electromagnetic field.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 12–18, January–February, 1971.
In conclusion, the author thanks R. Z. Sagdeev and V. E. Zakharov for a discussion of the results.
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Vainshtein, S.I. The magnetic field in inhomogeneous turbulent flow. J Appl Mech Tech Phys 12, 8–13 (1971). https://doi.org/10.1007/BF00853975
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DOI: https://doi.org/10.1007/BF00853975