Kinematic dynamo in two-dimensional chaotic flow: the initial and final stages
Abstract
The small-scale kinematic dynamo in a two-dimensional chaotic flow is studied. The analytic approach is developed in framework of the Kraichnan-Kazantsev model. It is shown that the growth of magnetic field B fluctuations stops at large times in accordance with so-called anti-dynamo theorems. The value of B2 increased therewith in square of the magnetic Prandtl number times. The spatial structure of the correlation tensor of the magnetic field is found.
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