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Asymptotic Methods in the Nonlinear Mean-field Dynamo

Published online by Cambridge University Press:  12 April 2016

D.D. Sokoloff
Affiliation:
Physics Department, Moscow State University, Moscow, USSR
A. Shukurov
Affiliation:
IZMIRAN, USSR Academy of Sciences, Troitsk, Moscow Region, USSR
A.A. Ruzmaikin
Affiliation:
IZMIRAN, USSR Academy of Sciences, Troitsk, Moscow Region, USSR

Abstract

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We discuss the methods and results of analysis of nonlinear mean-field dynamo models based on α-quenching in two asymptotic regimes, namely for weakly and highly supercritical excitation. In the former case the spatial distribution of the steady-state magnetic field is close to that given by the neutrally stable eigenfunction of the corresponding kinematic dynamo. In the latter case the magnetic field distribution within the main part of the dynamo volume is presumably determined by the balance between the Lorentz and Coriolis forces while near the boundaries boundary layers arise in which the field adjusts itself to the boundary conditions. The asymptotic behaviour of the highly supercritical αω-dynamos is sensitive to the particular form of dependence of the mean helicity on magnetic field while α2-dynamos are less sensitive to this dependence.

Type
Part II Current stellar dynamo theory
Copyright
Copyright © Springer-Verlag 1991

References

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