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 $\bm{B}$ fluctuations stops at large times in accordance with so-called anti-dynamo theorems. The value of $\bm{B}^2$ increased therewith in square of the magnetic Prandtl number times. The spatial structure of the correlation tensor of the magnetic field is found.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2016
- DOI:
- 10.48550/arXiv.1603.08771
- arXiv:
- arXiv:1603.08771
- Bibcode:
- 2016arXiv160308771K
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics;
- Physics - Fluid Dynamics
- E-Print:
- 7 pages