vestnovsuВестник Новгородского государственного университетаVestnik of Novgorod State University2076-8052Новгородский государственный университет имени Ярослава Мудрого10.34680/2076-8052.2022.3(128).15-20vestnovsu-12Research ArticleЭлектроникаElectronicsПолевая механика как основа классической релятивистской кинетической теорииField mechanics as the basis of the classical relativistic kinetic theoryЗахаровА. Ю.ZakharovA. Yu.Anatoly.Zakharov@novsu.ruЗубковВ. В.ZybkovV. V.victor.v.zubkov@gmail.comНовгородский государственный университет имени Ярослава МудрогоRussian FederationТверской государственный университетRussian Federation20221809202303(128)1520Copyright © Захаров А.Ю., Зубков В.В., 20232023Захаров А.Ю., Зубков В.В.Zakharov A.Y., Zybkov V.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnovsu.elpub.ru/jour/article/view/12

Показано, что учет поля, посредством которого происходит взаимодействие между частицами, и принципа причинности позволяет вывести кинетическое уравнение для микроскопической функции распределения, позволяющее описать необратимую эволюцию системы частиц без привлечения каких-либо вероятностных гипотез. Введено вспомогательное скалярное поле для описания динамики системы нейтральных частиц (атомов) в рамках классической теории поля. Доказано, что класс стабильных межатомных потенциалов допускает представление в виде суперпозиции потенциалов Юкавы. Получена полная система уравнений релятивистской динамики системы, состоящей из атомов и вспомогательного поля. Предложенный релятивистско-полевой подход к описанию динамики систем может быть использован как без-вероятностный метод построения микроскопической термодинамики и кинетики как макроскопических, так и «малых» систем, в том числе и наносистем.

It is shown that taking into account the field, through which the interaction between particles occurs, and the causality principle allows us to derive a kinetic equation for a microscopic distribution function, which enables us to describe the irreversible evolution of a particle system without involving any probabilistic hypotheses. An auxiliary scalar field is introduced to explain the dynamics of a system of neutral particles (atoms) in the framework of the classical field theory. It has been proved that the class of stable interatomic potentials can be represented as a superposition of Yukawa potentials. A complete system of equations for the relativistic dynamics of a system consisting of atoms and an auxiliary field has been obtained. The proposed relativistic-field approach to describing the dynamics of systems can be used as a probability-free method for constructing microscopic thermodynamics and kinetics of both macroscopic and "small" systems, including nanosystems.

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The authors declare that there are no conflicts of interest present.