Nonlinear α‐Effect in Dynamo Theory
- 10 March 1999
- journal article
- research article
- Published by American Astronomical Society in The Astrophysical Journal
- Vol. 513 (2) , 638-651
- https://doi.org/10.1086/306877
Abstract
The standard two-scale theory of the dynamo coefficient α in incompressible isotropic helical MHD turbulence is extended to include nonlinear effects of , the large-scale magnetic field. We express α in terms of statistical quantities that can be calculated from numerical simulations of the case =0. For large magnetic Reynolds numbers, our formula agrees approximately with that of Kraichnan but disagrees with that of Cattaneo & Hughes.Keywords
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