Subcritical dynamo bifurcation in the Taylor Green flow

Details Subcritical dynamo bifurcation in the Taylor Green flow Subcritical dynamo bifurcation in the Taylor Green flow

2007-07-17

arxiv.org/abs/0707.2498v2

Physics

Fluid Dynamics

4 pages

Scientific paper

10.1103/PhysRevLett.99.224501

We report direct numerical simulations of dynamo generation for flow generated using a Taylor-Green forcing. We find that the bifurcation is subcritical, and show its bifurcation diagram. We connect the associated hysteretic behavior with hydrodynamics changes induced by the action of the Lorentz force. We show the geometry of the dynamo magnetic field and discuss how the dynamo transition can be induced when an external field is applied to the flow.

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