Perturbational Method in Magnetohydrodynamic Turbulence with Special Reference to Magnetic Dynamo
Abstract
Statistical analysis is made of effects of homogeneous turbulence upon magnetic field, in a close relation to the magnetic-dynamo problem. Using a statistical-mechanical approach developed in the study of inhomogeneous non-magnetic turbulence, a formula is found for the mean electromotive force playing an important role in dynamo theory. The so-called α-effect, in special, is expressed in a simple form under the pseudo-isotropic turbulent field whose statistical properties have an exponential time dependence.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- July 1979
- DOI:
- 10.1143/JPSJ.47.306
- Bibcode:
- 1979JPSJ...47..306Y
- Keywords:
-
- Dynamo Theory;
- Homogeneous Turbulence;
- Magnetohydrodynamic Stability;
- Magnetohydrodynamic Turbulence;
- Perturbation Theory;
- Statistical Analysis;
- Covariance;
- Electromotive Forces;
- Integral Equations;
- Isotropic Turbulence;
- Magnetic Effects;
- Time Dependence;
- Plasma Physics