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Sheared Helical Turbulence and the Helicity Constraint in Large-Scale Dynamos

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Dynamo and Dynamics, a Mathematical Challenge

Part of the book series: NATO Science Series ((NAII,volume 26))

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Abstract

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.

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References

  1. Berger, M. A., & Ruzmaikin, A. (2000) Rate of helicity production by solar rotation. J. Geophys. Res. 105, 10481–10490

    Article  ADS  Google Scholar 

  2. Blackman, E. G., & Field, G. F. (2000) Constraints on the Magnitude of alpha in Dynamo Theory. Astrophys. J. 534, 984–988

    Article  ADS  Google Scholar 

  3. Brandenburg, A. (2000) The inverse cascade and nonlinear alpha-effect in simulations of isotropic helical hydromagnetic turbulence, Astrophys. J. (submitted) (astroph/0006186)

    Google Scholar 

  4. Brandenburg, A. & Subramanian, K. (2000) Large scale dynamos with ambipolar diffusion nonlinearity. Astron. Astrophys. 361, L33–L36

    ADS  Google Scholar 

  5. Brandenburg, A., Bigazzi, A., & Subramanian, K., (2000) The helicity constraint in turbulent dynamos with shear, Mon. Not. Roy. Astron. Soc. (submitted), (astroph/0011081)

    Google Scholar 

  6. Brandenburg, A., Nordlund, A., Stein, R. F., & Torkelsson, U. (1995) Dynamogenerated Turbulence and Large-Scale Magnetic Fields in a Keplerian Shear Flow. Astrophys. J. 446, 741–754

    Article  ADS  Google Scholar 

  7. Glatzmaier, G. A., & Roberts, P. H. (1995) A three-dimensional self-consistent computer simulation of a geomagnetic field reversal. Nature 377, 203–209

    Article  ADS  Google Scholar 

  8. Kleeorin, N. I, Moss, D., Rogachevskii, I., &; Sokoloff, D. (2000) Helicity balance and steady-state strength of the dynamo generated galactic magnetic field. Astron. Astrophys. 361, L5–L8

    ADS  Google Scholar 

  9. Krause, F., & Rädler, K.-H. (1980) Mean-Field Magnetohydrodynamics and Dynamo Theory. Pergamon Press, Oxford

    MATH  Google Scholar 

  10. Moffatt, H.K. (1978) Magnetic Field Generation in Electrically Conducting Fluids. CUP, Cambridge

    Google Scholar 

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© 2001 Springer Science+Business Media Dordrecht

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Bigazzi, A., Brandenburg, A., Subramanian, K. (2001). Sheared Helical Turbulence and the Helicity Constraint in Large-Scale Dynamos. In: Chossat, P., Ambruster, D., Oprea, I. (eds) Dynamo and Dynamics, a Mathematical Challenge. NATO Science Series, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0788-7_14

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  • DOI: https://doi.org/10.1007/978-94-010-0788-7_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7070-3

  • Online ISBN: 978-94-010-0788-7

  • eBook Packages: Springer Book Archive

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