Influence of wave noise on frequencies and amplitudes of the solar p-modes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Convection, Sun: Oscillations, Turbulence

Scientific paper

The influence of space- and time-dependent random mass density field, associated with granules, on frequencies and amplitudes of the solar p-modes is examined in the limit of weak random fields and small amplitude oscillations. The p-modes are approximated by the sound waves which propagate in the gravity-free medium. Using a perturbative method, we derive a dispersion relation which is solved for the case of wave noise for which the spectrum E(k,omega ) ~ E(k) delta (omega -crk), where delta is the Dirac's delta-function and cr is the random phase speed. We find that at cr=omega /k a resonance occurs at which the cyclic frequency omega tends to infinity. For values of cr which are close to the resonance point, the frequency shift may be both negative or positive and the imaginary part of the frequency attains the negative (positive) sign for cromega /k).

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