Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..91..273v&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 91, no. 2, April 1983, p. 273-284.
Astronomy and Astrophysics
Astrophysics
1
Burger Equation, Dynamo Theory, Kinetic Equations, Magnetic Diffusion, Magnetohydrodynamic Turbulence, Fourier Transformation, Kinematics, Optimization, Time Dependence, Viscosity
Scientific paper
The problem of the turbulent dynamo is analytically investigated. Starting from an extended Burgers' equation, a hierarchy of the associated wave-correlation functions is obtained through linearization, symmetry conditions, and statistical method. This hierarchy is closed using the Bogoliubov (1962) method, which takes into account the time dependence of all higher order wave correlation functions on the second order one. It permits the derivation of dynamical equations which statistically describe the nonlinear interaction of different wave modes. These equations do not lead to negative energy spectra like those obtained numerically. It is found that when the kinematic viscosity equals the magnetic diffusivity, the results agree with the recent numerical simulation of nonhelical weak turbulent flow. Thus, this study eliminates the objections raised against applying the hierarchy method to the turbulent dynamo problem.
Vats R. P.
Vithal K. L.
No associations
LandOfFree
MHD turbulence via extended Burgers' equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with MHD turbulence via extended Burgers' equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and MHD turbulence via extended Burgers' equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1233328