On physical principles and mathematical mechanisms of the phenomenon of irreversibility

Abstract: It is shown that the phenomenon of irreversibility in many-body and few-body systems can be explained and described within the framework of the concept of direct (not instantaneous) interaction of particles without using probabilistic hypotheses. The exact solution of the model of a two-particle classical oscillator with retarded interaction between particles is presented. It is established that the interactions retardation leads to appearance of an infinite spectrum of both stationary and non-stationary oscillations, and to non-invariance of the solution with respect to time reversal as well.