Nonlinear astrophysical dynamo - A marginally unstable case

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dynamo Theory, Lorentz Force, Magnetohydrodynamic Stability, Stellar Magnetic Fields, Stellar Rotation, Navier-Stokes Equation, Poloidal Flux, Stellar Models, Time Dependence, Velocity Distribution

Scientific paper

A simple set of nonlinear dynamo equations which incorporate the effect of Lorentz force to the differential rotation is derived and analyzed for a marginally unstable dynamo. The nonlinear equilibrium state is found within one mode approximation. The period of magnetic cycle found by numerical calculations is the magnetic dissipation time, which is different from the linear result (period = generation time).

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