Dynamo bifurcations in an array of driven convectionlike rolls

Details Dynamo bifurcations in an array of driven convectionlike rolls Dynamo bifurcations in an array of driven convectionlike rolls

May 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrve..57.5533r&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 57, Issue 5, May 1998, pp

Physics

4

Nonlinearity, Bifurcation, And Symmetry Breaking, Transition To Turbulence, Magnetohydrodynamics And Plasmas

Scientific paper

The bifurcations in a three-dimensional incompressible, electrically conducting fluid with an external forcing of the Roberts type have been studied numerically. The corresponding flow can serve as a model for the convection in the outer core of the Earth and is realized in an ongoing laboratory experiment aimed at demonstrating a dynamo effect. The symmetry group of the problem has been determined and special attention has been paid to symmetry breaking by the bifurcations. The nonmagnetic, steady Roberts flow loses stability to a steady magnetic state, which in turn is subject to secondary bifurcations. The secondary solution branches have been traced until they end up in chaotic states.

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