Astronomy and Astrophysics – Astrophysics
Scientific paper
May 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000rmxac...9..101s&link_type=abstract
"Astrophysical Plasmas: Codes, Models, and Observations, Proceedings of the conference held in Mexico City, October 25-29, 1999,
Astronomy and Astrophysics
Astrophysics
Scientific paper
It is shown that the ``exact'' Diamond-Vainshtein formula connecting the alpha-effect coefficient with the correlator of magnetic field fluctuations is not valid. Instead, the analogous formula with turbulent diffusivity is proposed but only as a crude approximate relation. Two exact integral relations connecting the mean magnetic field and its fluctuating part in steady state between the magnetic field and a turbulent velocity field are derived from the equations of magnetohydrodynamics. These relations may be used by numerical simulations of the magnetic field evolution to check the accuracy of the calculations. The new estimation of the alpha-coefficient permits the effective dynamo mechanism of enhancement of the mean magnetic field in turbulent conducting media, even for a moderate level of magnetic fluctuations.
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