Sheared helical turbulence and the helicity constraint in large-scale dynamos

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The effect of shear on the growth of large scale magnetic fields in helical turbulence is investigated. The resulting large-scale magnetic field is also helical and continues to evolve, after saturation of the small scale field, on a slow resistive time scale. This is a consequence of magnetic helicity conservation. Because of shear, the time scale needed to reach an equipartition-strength large scale field is shortened proportionally to the ratio of the resulting toroidal to poloidal large scale fields.
8 pages, 3 figures. To be published in the Proceedings of the NATO Advanced Research Workshop, 'Dynamos and Dynamics: a mathematical challenge', August 21 - 26, 2000 Cargese, Corsica, ASI Nato series, Kluwer pub

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