Power Spectra Of Black Holes And Neutron Stars As A Probe OfHydrodynamical Structure Of The Source.Diffusion Theory And Its Application To Cyg X-1 And Cyg X-2X-ray Observations

Astronomy and Astrophysics – Astronomy

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We present a model of Fourier Power Density Spectrum (PDS) formation in accretion powered X-ray binary systems derived from the first principles of the diffusion theory. The resulting PDS continuum is a sum of two components, a low frequency (LF) component is presumably originated in an extended accretion disk and a high frequency (HF) component is originated in the innermost part of the source (Compton cloud). The LF PDS component has a power law shape with index about 1.5 at higher frequencies (``red noise '') and a flat spectrum below a characteristic (break) frequency ``white'' noise). This white-red noise (WRN) continuum spectrum holds information about physical parameters of bounded extended medium, diffusion time scale and dependence of viscosity vs radius. We offer a method to measure an effective Reynolds number, Re using the basic PDS parameters (PDS index and characteristic frequencies). We obtain that the inferred Re in the range of 8 +/- 2.5 [or alpha-parameter (1/Re) 0.14 +/- 0.04] for the Cyg X-1 and Cyg X-2 coronal configurations related to their HF PDS component

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