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 Universal Nonlinear Small-Scale Dynamo

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We consider astrophysically relevant nonlinear MHD dynamo at large Reynolds numbers Re. We argue that it is universal in a sense that magnetic energy grows at a rate which is a constant fraction C E of the total turbulent dissipation rate. On the basis of locality bounds we claim that this -efficiency of small-scale dynamo-, C E, is a true constant for large Re and is determined only by strongly nonlinear dynamics at the equipartition scale. We measured C E in numerical simulations and observed a value around 0.05 in highest resolution simulations. We address the issue of C E being small, unlike Kolmogorov constant which is of order unity.

Author: Andrey Beresnyak

Source: https://archive.org/


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