Mathematics – Probability
Scientific paper
Jul 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...287...73v&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 287, no. 1, p. 73-79
Mathematics
Probability
30
Black Holes (Astronomy), Oscillations, Shot Noise, X Ray Astronomy, X Ray Sources, Electromagnetic Interactions, Probability Theory, Pulse Amplitude, Radiant Flux Density, Stability
Scientific paper
It is shown that quasi-periodic oscillations (QPO) can naturally appear in the framework of the shot noise model under the assumption that individual shots are not completely independent. A weak 'interaction' between shots can be expected in many physical models, when an instability is developing in the region having stable external supply of energy. Indeed, in order to keep energy release stable on large time scales, the appearance of strong shots should affect the amplitude ('amplitude' interaction) and/or probability of occurrence ('probability' interaction) of the subsequent shots. The influence on the shape of the power density spectra has been considered in the simplest cases of pure 'amplitude' and 'probability' interactions. As the by-product of our anlaysis, an exact formula for the power density spectrum disturbances due to the detector 'dead time' effect has been obtained. The results can be applied to the QPO of the X-ray flux from black hole candidates.
Churazov Eugene
Gilfanov Marat
Vikhlinin Alexey
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