A route to magnetic field reversals: an example of an ABC-forced non-linear dynamo

Details A route to magnetic field reversals: an example of an ABC-forced non-linear dynamo A route to magnetic field reversals: an example of an ABC-forced non-linear dynamo

2001-07-14

arxiv.org/abs/physics/0107029v3

Physics

Fluid Dynamics

version 3: 35 pages, 16 figures; substantial changes, 1 figure added, some corrections, more references

Scientific paper

We are investigating numerically the non-linear behavior of a space-periodic MHD system with ABC forcing. Most computations are performed for magnetic Reynolds numbers increasing from 0 to 60 and a fixed kinematic Reynolds number, small enough for the trivial solution with a zero magnetic field to be stable to velocity perturbations. At the critical magnetic Reynolds number for the onset of instability of the trivial solution the dominant eigenvalue of the kinematic dynamo problem is real. In agreement with the bifurcation theory new steady states with non-vanishing magnetic field appear in this bifurcation. Subsequent bifurcations are investigated. A regime is detected, where chaotic variations of the magnetic field orientation (analogous to magnetic field reversals) are observed in the temporal evolution of the system.

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