Evidence for fast dynamo action in a chaotic web

Physics

Scientific paper

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Chaos, Dynamo Theory, Magnetic Fields, Webs, Magnetic Diffusion, Magnetic Field Configurations, Magnetic Flux, Magnetohydrodynamic Flow, Perturbation

Scientific paper

The evolution of a magnetic field in a chaotic web is studied. The model flow possessing the web is closely related to the nearly integrable ABC flow with A = B and C much less than 1. The magnetic diffusivity is taken to be zero and the field is followed using the Cauchy solution. It is found that the flow folds the magnetic field constructively, in the sense that the average magnetic field in a chaotic region grows exponentially in time. This is suggestive of fast dynamo action, although the effect of diffusion of the strong streamwise magnetic field remains to be assessed.

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