Stochastic effects in mean-field dynamos

Details Stochastic effects in mean-field dynamos Stochastic effects in mean-field dynamos

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...265..843m&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 265, no. 2, p. 843-849.

Astronomy and Astrophysics

Astrophysics

32

Dynamo Theory, Solar Cycles, Stochastic Processes, Dynamic Models, Magnetohydrodynamics, Perturbation Theory, Stellar Convection, Stellar Magnetic Fields, Turbulence Effects

Scientific paper

We investigate the effects of various forms of noise on previously studied nonlinear (alpha-squared)(omega) dynamos in a sphere or a spherical shell. We investigate the consequences of perturbing solutions of both pure and mixed parity. In the former case we find that there can be quite pronounced deviations from the pure parity, and that these seem larger nearer to the relevant bifurcation. Effects are also stronger in a shell dynamo than in the full sphere. However, the magnetic period is relatively little changed in these examples. When a 2-torus solution (of mixed parity) is perturbed, the effects on the long period variations are much greater than on the short period, but even for quite strong perturbations the solutions do not leave the neighborhood of the underlying attractor.

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