The study of the mechanisms of X-ray generation in binary X-ray systems using the example of Cygnus X-1 within the framework of the statistical Memory Functions Formalism
Demin S. A. 1, Minkin A. V. 1, Demina N. Y. 1
1Kazan Federal University, Kazan, Russia
Email: serge_demin@mail.ru, avminkin@yandex.ru

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In this work, we study the mechanisms of radiation generation in double X-ray systems based on the Memory Functions Formalism. The method was applied to estimate the temporal parameters of the X-ray emission of Cygnus X-1 by constructing the frequency components of autocorrelators and their derivatives. Analysis of the functions and measures of statistical memory demonstrates the internal structural heterogeneity of the accretion disk generating X-ray radiation and the low rate of transformation of matter. The time periods corresponding to the most significant changes in the total X-ray flux and characterizing the main evolution of the binary system are equal to several hundred days. Possible ways to study the effects of synchronization and cross-correlations in the signals of accreting binary systems recorded at different frequency ranges are indicated. Keywords: Physics of complex systems, binary X-ray systems, Cygnus X-1, Memory Functions Formalism, statistical memory effects, accretion.
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