Journal
JOURNAL OF PLASMA PHYSICS
Volume 84, Issue 3, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022377818000521
Keywords
astrophysical plasmas; space plasma physics
Categories
Funding
- RFBR [18-02-00085]
- JSPS [18H012012]
- RFBR -JSPS [16-52-50077]
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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 integrals taken over all the trajectories of the fluid particles. The form of the equations is just the same as the conventional mean-field equations, but here the equations are derived with the velocity field realisation affected by the force exerted by the magnetic field. In this sense, we derive nonlinear dynamo equations.
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