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 inPhysics of fluids (1994) Vol. 32; no. 12
Main Authors Il’yn, A. S., Kopyev, A. V., Sirota, V. A., Zybin, K. P.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.12.2020
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