http://arxiv.org/abs/1802.02842
Mean-field dynamo equations are addressed with the aid of the path-integral method. The evolution of magnetic field is treated as a three-dimensional Wiener random process, and the mean magnetic-field equations are obtained with the Wiener integral over all the trajectories of fluid particle. The form of the equations is just the same as the conventional mean-field equations, but the present equations are derived with the velocity-field realization affected by the magnetic-field force. In this sense, the present ones are nonlinear dynamo equations.
D. Sokoloff and N. Yokoi
Fri, 9 Feb 18
48/57
Comments: 6 pages, 0 figures; submitted to Journal of Plasma Physics