A New Dynamical Mean-Field Dynamo Theory and Closure Approach

Details A New Dynamical Mean-Field Dynamo Theory and Closure Approach A New Dynamical Mean-Field Dynamo Theory and Closure Approach

2002-07-22

arxiv.org/abs/astro-ph/0207435v3

Phys. Rev. Lett. 89 265007 (2002)

Astronomy and Astrophysics

Astrophysics

8 pages, TeX including 2 figs, version in press, Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.89.265007

We develop a new nonlinear mean field dynamo theory that couples field growth to the time evolution of the magnetic helicity and the turbulent electromotive force, $\emfb$. We show that the difference between kinetic and current helicities emerges naturally as the growth driver when the time derivative of $\emfb$ is coupled into the theory. The solutions predict significant field growth in a kinematic phase and a saturation rate/strength that is magnetic Reynolds number dependent/independent in agreement with numerical simulations. The amplitude of early time oscillations provides a diagnostic for the closure.

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