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Title: Shear dynamo problem: quasilinear kinematic theory
Authors: Sridhar, S.
Subramanian, Kandaswamy
Keywords: computational fluid dynamics
integro-differential equations
shear turbulence
Issue Date: Apr-2009
Publisher: American Physical Society
Citation: Physical Review E, 2009, Vol.79, p045305
Abstract: Large-scale dynamo action due to turbulence in the presence of a linear shear flow is studied. Our treatment is quasilinear and kinematic but is nonperturbative in the shear strength. We derive the integrodifferential equation for the evolution of the mean magnetic field by systematic use of the shearing coordinate transformation and the Galilean invariance of the linear shear flow. For nonhelical turbulence the time evolution of the cross-shear components of the mean field does not depend on any other components excepting themselves. This is valid for any Galilean-invariant velocity field, independent of its dynamics. Hence the shear-current assisted dynamo is essentially absent, although large-scale nonhelical dynamo action is not ruled out.
Description: Open Access
ISSN: E-ISSN: 1550-2376
P-ISSN: 1539-3755
Alternative Location: 10.1103/PhysRevE.79.045305
Copyright: 2009 The American Physical Society
Appears in Collections:Research Papers (A&A)

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