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Within the frames of the analytical mechanics the method of the description of dynamics of nonequilibrium systems of potentially interacting elements is develops. The method is based on an opportunity of representation of nonequilibrium system by set of interacting equilibrium subsystems. The equation of motion of interacting subsystems is found. Based on it the Lagrange, Hamilton and Liouville equations for subsystems are obtained. The expression of an entropy production is found. The way of a substantiation of thermodynamics in the frames of classical mechanic is offered.

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