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arXiv · 1802.02842

Path integrals for mean-field equations in nonlinear dynamos

Dmitry Sokoloff·Nobumitsu Yokoi
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Abstract

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.

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Dmitry Sokoloff, Nobumitsu Yokoi. 2018-02-08. Path integrals for mean-field equations in nonlinear dynamos. https://doi.org/10.1017/s0022377818000521

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