A New Nonlinear Mean-Field Dynamo Theory and Closure Approach
Abstract
We develop a nonlinear mean field dynamo and closure approach that couples field growth to the time evolution of both magnetic helicity and the turbulent electromotive force. The difference between small-scale kinetic and current helicities emerges as the growth driver, whilst the kinetic and magnetic energy density difference plays a role in turbulent diffusion. The saturation rate/strength is magnetic Reynolds number dependent/independent, in agreement with numerical simulations. A significant kinematic growth phase and early-time oscillations are also discussed.Keywords
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