Perturbational Method in Magnetohydrodynamic Turbulence with Special Reference to Magnetic Dynamo

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.