Turbulent transport of magnetic fields. I - A simple mechanical model. II - The role of fluctuations in kinematic theory

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Dynamo Theory, Geomagnetism, Solar Magnetic Field, Turbulent Flow, Kinematic Equations, Stellar Rotation, Stochastic Processes

Scientific paper

In the present paper, a simple mechanical model is analysed that reproduces a few basic features of the average magnetic field in the Sun and the Earth. It provides an intuitive picture of how the α-effect operates in combination with differential rotation. The model serves three purposes: (1) it enhances an intuitive understanding of the behaviour of a magnetic field in turbulent fluids; (2) it shows that kinematic models (and ultimately, non-linear models also) must allow for fluctuations as one is essentially dealing with a stochastic process; (3) it serves as a starting point for a re-analysis of the kinematic dynamo problem.

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