Contributed talk: Understanding long-wave instabilities of statistically steady nonlinear dynamos

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• David Hughes (University of Leeds)
• Friday 02 December 2022, 11:15-11:45
• Seminar Room 1, Newton Institute.

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DY2W03 - Modeling, observing and understanding flows and magnetic fields in the Earth's core and in the Sun

Mean-field approaches to long wavelength dynamo instabilities have until recent years focused on the kinematic case where the velocity field is prescribed and the small-scale magnetic fields are driven by interactions between the flow and the large-scale magnetic field. However this approach will not work when there is an equilibrated small-scale dynamo with dynamically active small-scale magnetic fields, since then the evolution of any long-wavelength disturbances involves simultaneous consideration of the induction and momentum equations. I will show how a formalised theory can be developed for such instabilities if they exist, and discuss conditions under which this can give meaningful information on the long time evolution of the system. I will also discuss the related general question of the effects on disordered dynamical systems of small symmetry-breaking perturbations. Joint work with David Hughes (Leeds) Joanne Mason (Exeter) and Alastair Rucklidge (Leeds)

This talk is part of the Isaac Newton Institute Seminar Series series.

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