PMID: 11909240Mar 23, 2002Paper

Magnetic fluctuations with a zero mean field in a random fluid flow with a finite correlation time and a small magnetic diffusion

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Nathan KleeorinD Sokoloff

Abstract

Magnetic fluctuations with a zero mean field in a random flow with a finite correlation time and a small yet finite magnetic diffusion are studied. Equation for the second-order correlation function of a magnetic field is derived. This equation comprises spatial derivatives of high orders due to a nonlocal nature of magnetic field transport in a random velocity field with a finite correlation time. For a random Gaussian velocity field with a small correlation time the equation for the second-order correlation function of the magnetic field is a third-order partial differential equation. For this velocity field and a small magnetic diffusion with large magnetic Prandtl numbers the growth rate of the second moment of magnetic field is estimated. The finite correlation time of a turbulent velocity field causes an increase of the growth rate of magnetic fluctuations. It is demonstrated that the results obtained for the cases of a small yet finite magnetic diffusion and a zero magnetic diffusion are different.

References

Jul 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·N Kleeorin, I Rogachevskii
Oct 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·N Kleeorin, I Rogachevskii
Mar 14, 1994·Physical Review Letters·A V Gruzinov, P H Diamond
Nov 18, 1996·Physical Review Letters·A GruzinovR Sudan
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·I Rogachevskii, N Kleeorin
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T ElperinD Sokoloff
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I Rogachevskii, N Kleeorin
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·N Kleeorin, I Rogachevskii

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Citations

Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jennifer SchoberRobi Banerjee
Jul 18, 2018·Physical Review. E·Egor YushkovDmitry Sokoloff
Feb 20, 2021·Journal of Fluid Mechanics·S M Tobias
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Igor Rogachevskii, Nathan Kleeorin
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Igor RogachevskiiAxel Brandenburg

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