Stationary solution for quasi-homogeneous small-scale magnetic field advected by non-Gaussian turbulent flow

We consider fluctuations of a magnetic field excited by an external force and advected by isotropic turbulent flow. It appears that non-Gaussian velocity gradient statistics and a finite region of pumping force provide the existence of a stationary solution. The mean-square magnetic field is calcula...

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Bibliographic Details
Published in:Physics of fluids (1994) 2020-12, Vol.32 (12)
Main Authors: Il’yn, A. S., Kopyev, A. V., Sirota, V. A., Zybin, K. P.
Format: Article
Language:English
Subjects:
Feedback
Fluid dynamics
Magnetic fields
Magnetism
Pumping
Turbulent flow
Velocity gradient
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Summary:We consider fluctuations of a magnetic field excited by an external force and advected by isotropic turbulent flow. It appears that non-Gaussian velocity gradient statistics and a finite region of pumping force provide the existence of a stationary solution. The mean-square magnetic field is calculated for arbitrary velocity gradient statistics. An estimate for possible feedback of the magnetic field on velocity shows that, for a wide range of parameters, stationarity without feedback would take place even in the case of intensive pumping of the magnetic field.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0031520