The study of frequency-phase synchronization in the dynamics of Solar activity indices using non-equilibrium statistical physics methods

Using the Memory Function Formalism, we parameterize correlations and effects of frequency-phase synchronization, which are revealed in the Zurich series of Wolf numbers and a set of radio frequency signals in the meter range, to understand the physico-chemical processes occurring in the convective zone and the outer layers of the Solar atmosphere. We have calculated the power spectra characteristics of cross-correlation functions and memory functions, which allow us to determine the degree of frequency-phase synchronization between these signals. We have determined the types of statistical memory and spatio-temporal characteristics in simultaneously recorded signals. The results obtained will be of interest to specialists who study the mechanisms of self-organization of magnetized plasma in the Solar atmosphere and the formation of stable magnetic solar structures.