2014, Vol.17, No.2, pp.177-182

This paper discusses a new approach for researching correlation characteristics of microquasar X-ray activity based on statistical physics including Fourier analysis, correlation analysis, elements of fractal analysis and regression modelling. Using this method, we show that analyzing the total flux X-ray activity of microquasars registered by the ASM review camera (All-Sky Monitor) of the RXTE orbital observatory (Rossi X-ray Timing Explorer) allows us not only to study some accretion mechanisms in binary systems but also to classify them according to the strength of the statistical memory effects. To discover the properties of X-ray activity, we analyze the power spectra of memory functions, derived from a memory functions formalism, using data from microquasar GRS 1915+105 as an example. Our findings allow us to determine three classes of X-ray binary systems depending on the ratio between the time relaxation scales and the statistical memory existence.

Key words: time series analysis, discrete non-Markov processes, statistical memory effects, X-ray activity, microquasars, GRS 1915+105

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