From the laws of classical mechanics to the laws of thermodynamics

Abstract

It is shown that the laws of thermodynamics can be justified based on the laws of classical mechanics, relying on the mechanics of structured particles (SP). The difference between this mechanics and classical mechanics is that in the classical mechanics, the body model is used in the form of a material point (MP), and in the mechanics of the SP, a model in the form of a SP is used. As a SP, a system consisting of a sufficiently large number of potentially interacting MPs is taken. It is shown how the thermodynamic principle of energy is related to the energy duality, based on which the mechanics of the SP are constructed. It is explained what is the D-entropy. It is shown how the Boltzmann entropy formula is modified in accordance with the extended Liouville equation obtained in the mechanics of the SP.