Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-10-13
Astronomy and Astrophysics
Astrophysics
Paper substantially rewritten, results changed (relative to v1). Revised version
Scientific paper
10.1103/PhysRevLett.107.255004
A rigorous theory for the generation of a large-scale magnetic field by random non-helically forced motions of a conducting fluid combined with a linear shear is presented in the analytically tractable limit of low Rm and weak shear. The dynamo is kinematic and due to fluctuations in the net (volume-averaged) electromotive force. This is a minimal proof-of-concept quasilinear calculation aiming to put the shear dynamo, a new effect recently found in numerical experiments, on a firm theoretical footing. Numerically observed scalings of the wavenumber and growth rate of the fastest growing mode, previously not understood, are derived analytically. The simplicity of the model suggests that shear dynamo action may be a generic property of sheared magnetohydrodynamic turbulence.
Heinemann Tobias
McWilliams James C.
Schekochihin Alexander A.
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