The stability of slim accretion discs - the radial dependence

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Accretion, Accretion Discs, Instabilities, Binaries: General, Tars: Variables: Other, X-Rays: Stars

Scientific paper

Many compact sources appear to have a luminosity which is a fair fraction of the Eddington one, implying that slim accretion discs should be used in interpretations of e.g. quasi-periodic variability. Adopting a central mass M~1.4 M_solar, the radial instability structure of slim discs is examined in the accretion rate-radius plane. Combination of the growth rates and instability time-scales for the viscous, thermal and acoustic modes with the local luminosity profile provides information about the relative activity level of each mode. The tentative conclusion is that modes in slim discs may produce quasi-periodic variability in low-mass X-ray binaries. In particular, the thermal and the outward-travelling acoustic modes may lead to significant peaks around v~10 and ~10^3 Hz in the power spectrum, respectively. The corresponding frequencies in stellar black hole candidates should be ~1 and ~10^2 Hz, if M~10 M_solar. A detection of the ~1-kHz peak would provide conclusive evidence of acoustic activity being present in accretion discs.

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