The irreversibility and classical mechanics laws

The irreversibility of the dynamics of the conservative systems on example of hard disks and potentially of interacting elements is investigated in terms of laws of classical mechanics. The equation of the motion of interacting systems and the formula, which expresses the entropy through the generalized forces, are obtained. The explanation of irreversibility mechanism is submitted. The intrinsic link between thermodynamics and classical mechanics was analyzed. Introduction. Irreversibility determines the contents of the second law of thermodynamics in fundamental physics. According to this law there is function S named entropy, which only grows for isolated systems, achieving a maximum in an equilibrium state. But the potentiality of forces for all four known fundamental interactions of elementary particles is a cause of reversibility of the Newton equation [1] and therefore declares that the natural processes also should be reversible. Thus, the fundamental physics includes parts contradicting each other: there are reversible classical mechanics and irreversible thermodynamics. The first attempt to resolve these contradictions belongs to Boltzmann. From the H-theorem it follows that the many-body systems should equilibrates. But at reception of these results Boltzmann used probabilistic principles. Therefore the contradiction between classical mechanics and statistical physics has not been overcome. Great importance of this problem for all physics explains its big popularity among the famous physicists of the world. The history of its solution is very extensive and at times, dramatic. Therefore let us reference only several works, which precisely enough describe a modern condition of a problem of irreversibility [2-4]. For overcoming of the irreversibility problem I. Prigogine has suggested to try to create the expanded formalism of open systems within the framework of classical mechanics laws [4]. Indeed, by analyzing dynamics properties of a hard disks system it turned out that such formalism appears in a process of the solution of a problem of irreversibility [5-9]. For example, as a result of this analyzing the generalized