4.7 Article

Kinematic α-effect in isotropic turbulence simulations

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OXFORD UNIV PRESS
DOI: 10.1111/j.1745-3933.2008.00423.x

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hydrodynamics; magnetic fields; MHD; turbulence

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Using numerical simulations at moderate magnetic Reynolds numbers up to 220, it is shown that in the kinematic regime, isotropic helical turbulence leads to an alpha-effect and a turbulent diffusivity whose values are independent of the magnetic Reynolds number, R-m, provided R-m exceeds unity. These turbulent coefficients are also consistent with expectations from the first-order smoothing approximation. For small values of R-m, alpha and turbulent diffusivity are proportional to R-m. Over finite time-intervals, meaningful values of alpha and turbulent diffusivity can be obtained even when there is small-scale dynamo action that produces strong magnetic fluctuations. This suggests that the fields generated by the small-scale dynamo do not make a correlated contribution to the mean electromotive force.

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