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Resonant three-wave interactions and an application to solar g mode oscillations

Published online by Cambridge University Press:  04 August 2017

D. B. Guenther  and
P. Demarque
D. B. Guenther
Affiliation:
Yale University Observatory, New Haven, CT 06511, USA
P. Demarque
Affiliation:
Yale University Observatory, New Haven, CT 06511, USA

Extract

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We present here some initial results of a long-term investigation of resonant three-wave interactions in the solar interior, which indicate that these nonlinear interactions take place in the sun and are, in fact, responsible for the observed g mode spectrum. Resonant three-wave interactions, as the name implies, involve the coupled interaction of three waves which satisfy the resonant condition where ω0, and ω1 are the frequencies of the three waves. Two of the waves, mode 0 and 1 for example, couple together to produce a third beat wave which has a frequency equal to the frequency difference of the first two waves. This wave is normally very weak. If its frequency happens to equal the frequency of an oscillation mode of the sun, the wave can be pumped by resonance to very large amplitudes. In the sun, resonant interactions would take place if three natural oscillation modes of the sun satisfy the resonance condition.

Type
I. EVOLUTION OF LOW AND INTERMEDIATE MASS STARS OBSERVATIONS AND MODELS
Information
Symposium - International Astronomical Union , Volume 105: Observational Tests of the Stellar Evolution Theory , 1984 , pp. 67 - 70
Copyright
Copyright © Reidel 1984 

References

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