Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mnras.194..229c&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 194, Jan. 1981, p. 229-250. Research supported by the Aarhus Universite
Astronomy and Astrophysics
Astrophysics
26
Astrophysics, Nonadiabatic Conditions, Stellar Oscillations, Vibration Mode, Coupled Modes, Eigenvalues, Hilbert Space, Perturbation Theory
Scientific paper
Avoided crossing among modes of non-radial stellar oscillation is analyzed using a perturbation technique, taking non-adiabaticity into account. To simplify the notation a Hilbert space formulation of the equations of non-adiabatic oscillation is set up; as a by-product this indicates the possibility of generalizing to non-radial oscillations the Woltjer method of stability calculation from adiabatic eigenfunctions. It is found that for sufficiently strong non-adiabaticity the avoided crossing is changed into a crossing of the real parts of the eigenfrequencies, corresponding to a decoupling of the two modes of oscillation. At smaller non-adiabaticity an otherwise stable mode may be excited by avoided crossing with an unstable mode. Some possible consequences for stellar evolution are briefly discussed.
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