Irreversibility in Classical Mechanics

Abstract

An explanation of the mechanism of irreversible dynamics was offered. The explanation was obtained within the framework of laws of classical mechanics by the expansion of Hamilton formalism. Such expansion consisted in adaptation of it to describe of the non-potential interaction of a systems. The procedure of splitting of a system into equilibrium subsystems, presentation of subsystem's energy as the sum of energy of their relative motion and their internal energy was the basis of the approach which was used for the analysis of nonequilibrium systems. As a results the generalized Liouville equation and equation of subsystems interaction was obtained. Based on these equations, the irreversible transformation of energy of the relative motion of subsystems into their internal energy was proved. The formula which expresses the entropy via the work of subsystems' interaction forces was submitted. The link between classical mechanics and thermodynamics was discussed.