The approach to the analysis of the dynamic of non-equilibrium open systems and irreversibility

Abstract

The approach to the analysis of the dynamic of non-equilibrium open systems within the framework of the laws of classical mechanics on the example a hard-disks is offered. This approach was based on Hamilton and Liouville generalized equations which was deduced for the subsystems of the nonequilibrium system. With the help of generalized Liouville equation it was obtained that two types of dynamics are possible: reversible and irreversible. The connection between the dynamical parameter -generalized field of forces, and entropy is established. The estimation of characteristic time of establishment of equilibrium in the thermodynamic limit is realized. It is shown how from the condition of irreversibility of a hard-disk system, the condition of irreversibility for the rarefied system of potentially interacting particles follows. The explanation of the mechanism of irreversibility is submitted.