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SUMMARY:Contributed talk: Understanding long-wave instabilities of statist
 ically steady nonlinear dynamos - David Hughes (University of Leeds)
DTSTART:20221202T111500Z
DTEND:20221202T114500Z
UID:TALK192170@talks.cam.ac.uk
DESCRIPTION:Mean-field approaches to long wavelength dynamo instabilities 
 have until recent years focused on the kinematic case where the velocity f
 ield is prescribed and the small-scale magnetic fields are driven by inter
 actions between the flow and the large-scale magnetic field. However this 
 approach will not work when there is an equilibrated small-scale dynamo wi
 th dynamically active small-scale magnetic fields\, since then the evoluti
 on of any long-wavelength disturbances involves simultaneous consideration
  of the induction and momentum equations. I will show how a formalised the
 ory can be developed for such instabilities if they exist\, and discuss co
 nditions 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.\nJoint work with David Hughes (Leeds) Joanne Mason (Exeter
 ) and Alastair Rucklidge (Leeds)
LOCATION:Seminar Room 1\, Newton Institute
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