Stellar pulsations with stochastic driving

Details Stellar pulsations with stochastic driving Stellar pulsations with stochastic driving

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...280..157b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 280, no. 1, p. 157-168

Mathematics

Probability

5

Amplitudes, Astronomical Models, Convection, Fokker-Planck Equation, Probability Distribution Functions, Stellar Oscillations, Stochastic Processes, Turbulence, Mathematical Models, Stellar Activity, Stellar Interiors, Stellar Physics, Stellar Structure

Scientific paper

We generalize the amplitude equation formalism to include stochastic terms which represent neglected convective and turbulent random fluctuations. We derive (a) a Fokker-Planck equation for the probability of finding the system with specified amplitudes, and (b) simplified amplitude equations which have the same statistical properties, but are much eastier to use. Finally we discuss some analytical solutions that are useful in the context of single and multi-mode stellar pulsations.

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