Dynamics of particles interacting by means of a scalar field
https://doi.org/10.34680/2076-8052.2025.1(139).108-122
Abstract
On the basis of the Lagrangian description of the system of particles and the field, the law of energy change of a system of point particles interacting with each other by means of a composite Klein-Fock-Gordon scalar field is obtained. The motion of particles was considered as nonrelativistic, while the field dynamics is always essentially relativistic in nature. It is shown that within the model of independent scalar fields the total energy of particles for the evolutionary time of the system decreases. Also the law of change of the total mechanical energy of the system of particles peculiar to classical mechanics is obtained. As an example, the double Yukawa potentials, typical for the model of simple liquids and gases, which are stable according to the Dobrushin-Ruel-Fisher criterion, are considered. It is shown that for such physically realistic potentials the rate of change of mechanical energy of particles is negative. Fundamental issues related to the research carried out, such as the phenomenon of irreversibility and the justification of Gibbs distributions, are discussed.
About the Authors
V. V. Zubkov
Tver State University
Russian Federation
Russian Federation
Tver
D. A. Mayfat
Tver State University
Russian Federation
Russian Federation
Tver
A. V. Zubkova
Tver State Technical University
Russian Federation
Russian Federation
Tver
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Review
For citations:
Zubkov V.V., Mayfat D.A., Zubkova A.V. Dynamics of particles interacting by means of a scalar field. Title in english. 2025;(1(139)):108-122. (In Russ.) https://doi.org/10.34680/2076-8052.2025.1(139).108-122
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