Small-scale magnetic fields in turbulence - Saffman's approximation revisited

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Conducting Fluids, Magnetic Fields, Turbulent Flow, Autocorrelation, Differential Equations, Kinematics, Tensor Analysis, Viscous Flow

Scientific paper

The approximation developed by Saffman (1963) to describe the small-scale structure of a magnetic field in a turbulent conducting medium and its evolution in time is examined with a view to placing sharper limits on the numerical parameters that appear in the approximate correlation functions. It is shown that if magnetic dissipation is ignored entirely, then results for a magnetic field in two dimensions are consistent with Saffman's approximation, but in three dimensions no steady state could be found.

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