  The mechanism of irreversible dynamics in the systems with mixing is
analyzed. The procedure of splitting of system on equilibrium subsystems and
studying of dynamics of one of them under condition of its interaction with
other subsystems in the basis of the approach to the analysis of dynamics of
nonequilibrium systems is used. The problem of "coarse-grain" of the phase
space in this method is eliminated. The formula, which expresses the entropy
through the work of forces between systems, is submitted. The essential link
between thermodynamics and classical mechanics was found.
