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SOURCE:   Almanac of Modern Science and Education. Tambov: Gramota, 2016. № 4. P. 59-73. ISSN 1993-5552.
SCIENTIFIC AREA: Physical-Mathematical Sciences
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LARGE-SCALE MAGNET-ROTARY DYNAMO. I. LINEAR THEORY WITHOUT EXTERNAL MAGNETIC FIELD

Kopp Mikhail Iosifovich
Kharkiv, Ukraine


Abstract. The paper investigates the dynamics of large-scale fields (vortex and magnetic ones) in heterogeneously rotating electrically conducting fluid in the axial homogeneous magnetic field of small-scale turbulence. The non-linear equations of the magnet-rotary dynamo in the third order of perturbation theory on the small Reynolds number are obtained. The paper studies the linear stage of the generation of large-scale vortex and magnetic fields in the absence of external homogeneous magnetic field resulting from the instability of -effect type. Through numerical methods, the author reveals the criteria of the generation of large-scale vortex and magnetic fields depending on the profile of the angular velocity of medium rotation.
Key words and phrases: мелкомасштабная турбулентность, крупномасштабная неустойчивость, магнитовращательная неустойчивость, многомасштабные асимптотические разложения, -эффект, small-scale turbulence, large-scale instability, magnet-rotary instability, multiscale asymptotic expansions, -effect.
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