Symmetry breaking in stellar dynamos
Author(s) -
R. L. Jennings,
N. O. Weiss
Publication year - 1991
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-8711
pISSN - 0035-8711
DOI - 10.1093/mnras/252.2.249
Subject(s) - physics , dynamo , quadrupole , solar dynamo , dynamo theory , dipole , rotational symmetry , symmetry (geometry) , homogeneous space , bifurcation , symmetry breaking , differential rotation , classical mechanics , antisymmetric relation , astrophysics , stars , quantum electrodynamics , magnetic field , quantum mechanics , mathematical physics , mechanics , geometry , nonlinear system , mathematics
The generation of magnetic fields in stars like the Sun can be described by an azimuthally averaged dynamo model. Solutions of the linear (kinematic) problem have pure dipole or quadrupole symmetry, i.e. toroidal fields that are antisymmetric or symmetric about the equator. These symmetries can only be broken at bifurcations in the non-linear regime, which lead to the appearance of spatially asymmetric mixed-mode solutions. The symmetries of dipole, quadrupole and mixed-mode solutions, whether steady or periodic, form the same group for any axisymmetric dynamo. To establish the bifurcation structure it is necessary to follow unstable as well as stable solutions
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