Physics – Mathematical Physics
Scientific paper
2006-02-03
J.Phys.A39:10057-10076,2006
Physics
Mathematical Physics
22 pages, 7 figures, presented at the 4th International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, November
Scientific paper
10.1088/0305-4470/39/32/S08
The spectrum of the spherically symmetric alpha-2 dynamo is studied in the case of idealized boundary conditions. Starting from the exact analytical solutions of models with constant alpha-profiles a perturbation theory and a Galerkin technique are developed in a Krein-space approach. With the help of these tools a very pronounced alpha-resonance pattern is found in the deformations of the spectral mesh as well as in the unfolding of the diabolical points located at the nodes of this mesh. Non-oscillatory as well as oscillatory dynamo regimes are obtained. A Fourier component based estimation technique is developed for obtaining the critical alpha-profiles at which the eigenvalues enter the right spectral half-plane with non-vanishing imaginary components (at which overcritical oscillatory dynamo regimes form). Finally, Frechet derivative (gradient) based methods are developed, suitable for further numerical investigations of Krein-space related setups like MHD alpha-2-dynamos or models of PT-symmetric quantum mechanics.
Guenther Uwe
Kirillov Oleg
No associations
LandOfFree
Krein space related perturbation theory for MHD alpha-2-dynamos and resonant unfolding of diabolical points does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Krein space related perturbation theory for MHD alpha-2-dynamos and resonant unfolding of diabolical points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Krein space related perturbation theory for MHD alpha-2-dynamos and resonant unfolding of diabolical points will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-699223