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The alpha-effect in the presence of rapid rotation

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Abstract

The relation of the hydrodynamic helicity and alpha-effect predicted by the mean-field dynamo theory is considered using the three-dimensional dynamo model in the rapidly rotating flat layer heated from below. Despite the theoretical limitations associated with the requirement of uniformity and isotropism of random fields, the alpha-effect is actually proportional to helicity in the geostrophic flows under consideration. Interpretation of this nice agreement is proposed.

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References

  1. Ya. B. Zeldovich, A. A. Ruzmaikin, and D. D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983).

    Google Scholar 

  2. F. Krause and K.-H. Rädler, Mean Field Magnetohydrodynamics and Dynamo Theory (Berlin, Akademic, 1980).

    MATH  Google Scholar 

  3. M. Reshetnyak, Geophys. Astrophys. Fluid Dyn. 104, 25 (2010).

    MathSciNet  Google Scholar 

  4. F. H. Busse, J. Fluid Mech. 44, 441 (1970).

    Article  ADS  MATH  Google Scholar 

  5. M. Yu. Reshetnyak, Fiz. Zemli 42(6), 3 (2006).

    MathSciNet  Google Scholar 

  6. M. Meneguzzi and A. Pouquet, J. Fluid Mech. 205, 297 (1989).

    Article  ADS  Google Scholar 

  7. A. Brandenburg and K. Subramanian, Phys. Rep. 417, 1 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  8. A. Pouquet, U. Frisch, and J. Leorat, J. Fluid Mech. 77, 321 (1976).

    Article  ADS  MATH  Google Scholar 

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Correspondence to M. Yu. Reshetnyak.

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Original Russian Text © M.Yu. Reshetnyak, 2012, published in Doklady Akademii Nauk, 2012, Vol. 444, No. 5, pp. 496–500.

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Reshetnyak, M.Y. The alpha-effect in the presence of rapid rotation. Dokl. Phys. 57, 224–228 (2012). https://doi.org/10.1134/S1028335812060067

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