Properties of Nonlinear Dynamo Waves

Physics – Fluid Dynamics

Scientific paper

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Dynamo Theory, Mathematical Models, Nonlinearity, Traveling Waves, Prandtl Number, Solar Magnetic Field, Modulation, Solar Cycles, Wave Propagation, Quenching

Scientific paper

Dynamo theory offers the most promising explanation of the generation of the sun's magnetic cycle. Mean field electrodynamics has provided the platform for linear and nonlinear models of solar dynamos. However, the nonlinearities included are (necessarily) arbitrarily imposed in these models. This paper conducts a systematic survey of the role of nonlinearities in the dynamo process, by considering the behaviour of dynamo waves in the nonlinear regime. It is demonstrated that only by considering realistic nonlinearities that are non-local in space and time can modulation of the basic dynamo wave he achieved. Moreover, this modulation is greatest when there is a large separation of timescales provided by including a low magnetic Prandtl number in the equation for the velocity perturbations.

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