This article is cited in 3 papers

International Conference ''Mechanisms and Nonlinear Problems of Nucleation, Growth of Crystals and Thin Films'' dedicated to the memory of the outstanding theoretical physicist Professor V.V. Slezov (Proceedings) St. Petersburg, July 1-5, 2019
Phase transitions

On the probability-free mechanism of macroscopic irreversibility and microscopic foundation of thermodynamics

A. Yu. Zakharov

Yaroslav-the-Wise Novgorod State University, Veliky Novgorod, Russia

Abstract: It is shown that retardation of the interactions between particles leads to the non-existence of potential energy and the Hamiltonian of the particle system. This leads to the impossibility of calculating the thermodynamic functions of the system by the methods of statistical mechanics. The dynamics of a system of particles with delayed interactions is described by a system of functional differential equations. The qualitative properties of the solutions of this system of equations are investigated. The solutions are irreversible with respect to time reversal. The number of degrees of freedom of even a finite system with retarded interactions is infinite.

Keywords: thermodynamics, many particle systems.

Received: 16.07.2019
Revised: 16.07.2019
Accepted: 25.07.2019

Language: English

 English version: Physics of the Solid State, 2019, 61:12, 2442–2445

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