4.3 Article

Generation of large-scale vorticity in rotating stratified turbulence with inhomogeneous helicity: mean-field theory

Journal

JOURNAL OF PLASMA PHYSICS
Volume 84, Issue 3, Pages -

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022377818000417

Keywords

astrophysical plasmas; plasma nonlinear phenomena

Funding

  1. Research Council of Norway under the FRINATEK [231444]
  2. Israel Science Foundation [1210/15]
  3. National Science Foundation [NSF PHY-1748958]

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We discuss a mean-field theory of the generation of large-scale vorticity in a rotating density stratified developed turbulence with inhomogeneous kinetic helicity. We show that the large-scale non-uniform flow is produced due to either a combined action of a density stratified rotating turbulence and uniform kinetic helicity or a combined effect of a rotating incompressible turbulence and inhomogeneous kinetic helicity. These effects result in the formation of a large-scale shear, and in turn its interaction with the small-scale turbulence causes an excitation of the large-scale instability (known as a vorticity dynamo) due to a combined effect of the large-scale shear and Reynolds stress-induced generation of the mean vorticity. The latter is due to the effect of large-scale shear on the Reynolds stress. A fast rotation suppresses this large-scale instability.

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