Volume 121, Number 3, February 2018
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||29 March 2018|
Small-scale turbulent magnetic field: Growth vs. decay
1 P. N. Lebedev Physical Institute of RAS - 119991, Leninskij pr. 53, Moscow, Russia
2 Moscow Institute of Physics and Technology - 141707 Dolgoprudny, Moscow region, Russia
3 National Research University Higher School of Economics - 101000, Myasnitskaya 20, Moscow, Russia
Received: 18 November 2018
Accepted: 5 March 2018
Statistical moments of magnetic field in a viscous range of turbulence are calculated for arbitrary initial conditions. It is shown that the evolution of magnetic field in the case of finite initial distribution in a linear velocity field consists of two or three consecutive regimes: exponential growth is followed by exponential decay. This solves the apparent contradiction between “anti-dynamo” theorems and growth of magnetic field with statistically homogeneous initial conditions.
PACS: 47.10.-g – General theory in fluid dynamics / 47.27.tb – Turbulent diffusion / 47.65.-d – Magnetohydrodynamics and electrohydrodynamics
© EPLA, 2018
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