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An accretion disc with an α parameter fluctuating at different radii is considered. The relation between the α fluctuations and the resulting fluctuations of the accretion rate near the accreting body is obtained. Fluctuations of the accretion rate and, consequently, of the luminosity proved to be of the flicker-noise type provided that the characteristic time-scale of the a fluctuations is of the order of the local viscous time-scale, and that the fluctuations at different radial scales are uncorrelated.
Y. E. Lyubarskii (Thu,) studied this question.