Energy of oscillation - The role of the negative energy mode in overstable nonradial oscillations of rotating stars

Details Energy of oscillation - The role of the negative energy mode in overstable nonradial oscillations of rotating stars Energy of oscillation - The role of the negative energy mode in overstable nonradial oscillations of rotating stars

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...360..590l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 360, Sept. 10, 1990, p. 590-603.

Astronomy and Astrophysics

Astrophysics

21

Gravitational Effects, Stellar Oscillations, Stellar Rotation, Coupled Modes, Magnetohydrodynamic Stability, Perturbation Theory, Vibration Mode

Scientific paper

In the present treatment of adiabatic nonradial oscillation energies in both nonrotating and uniformly rotating stars, the resonance between two positive energy modes yields an avoided crossing, while the resonance between one positive energy mode and a negative one yields an overstable mode. It is found that while the oscillation energies of p- and g-modes in nonrotating stars, and g-modes of rotating stars, are definitely positive, the energy of an oscillatory convective mode of rotating stars is positive or negative, depending on the ratio of the frequencies of rotation to those of oscillation. For a negative energy oscillation, amplitude increases when energy is extracted from, rather than fed into, the oscillation; when a resonance occurs between a negative energy mode and a positive one, energy flows from the negative energy mode to the positive one, thereby forming an overstable oscillation.

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