On the probability-free mechanism of macroscopic irreversibility and microscopic foundation of thermodynamics
Ministry of Science and Higher Education of the Russian Federation, Project part of the State Assignment, 3.3572.2017/4.6
Zakharov A.Yu.
11Yaroslav-the-Wise Novgorod State University, Veliky Novgorod, Russia
Email: Anatoly.Zakharov@novsu.ru
Поступила в редакцию: 16 июля 2019 г.
Выставление онлайн: 19 ноября 2019 г.
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.
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