Principles of relativistic molecular dynamics
https://doi.org/10.34680/2076-8052.2024.3(137).425-435
Abstract
A relativistic dynamic theory of a system of interacting atoms is constructed based on the concept of an auxiliary field. Variational formulation of problems of relativistic molecular dynamics. An exact closed relativistic system of equations is obtained that describes the evolution of the system of atoms and the auxiliary field. An analysis of the qualitative properties of solutions to the system dynamics equations has been carried out.
About the Authors
A. Yu. Zakharov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
M. A. Zakharov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
V. V. Zubkov
Tver State University
Russian Federation
Russian Federation
Tver
References
1. Rowlinson J. S. C. A Scientific History of Intermolecular Forces. Cambridge: Cambridge University Press, 2002. 343 p.
2. Kaplan I. G. Intermolecular Interactions: Physical Picture, Computational Methods and Model Potentials. Chichester: Wiley, 2006. 375 p.
3. Stone A. The Theory of Intermolecular Forces. Oxford: Oxford University Press, 2013. 352 p.
4. Metod molekulyarnoj dinamiki v fizicheskoj himii: sbornik obzorov: posvyashchennykh pamyati A. G. Grivtsova [The method of molecular dynamics in physical chemistry: collection of reviews: dedicated to the memory of A. G. Grivtsov]. Exec. editor Yu. K. Tovbin. Мoscow: Nauka, 1996. 169 p.
5. Kamberaj H. Molecular Dynamics Simulations in Statistical Physics: Theory and Applications. Cham: Springer, 2020. 470 p.
6. Kun Zhou, Bo Liu. Molecular Dynamics Simulation: Fundamentals and Applications. Amsterdam: Elsevier, 2022. 374 p.
7. Zakharov A. Y., Zubkov V. V. Field-theoretical representation of interactions between particles: Classical relativistic probability-free kinetic theory // Universe. 2022. 8 (5). 281. DOI: 10.3390/universe8050281
8. Zakharov A. Yu., Zakharov M. A. Relativistic model of interatomic interactions in condensed systems // Kondensirovannye Sredy I Mezhfaznye Granitsy = Condensed Matter and Interphases. 2023. 25 (4). 494-504. DOI: 10.17308/kcmf.2023.25/11480
9. Morse Ph., Feshbach H. Metody teoreticheskoy fiziki [Methods of Theoretical Physics]: in 2 volumes: translated from English. Vol. 1. Мoscow: Izd-vo Inostran. lit., 1958. 932 p. Vol. 2. Мoscow, 1960. 896 p.
10. Ivanenko D. D., Sokolov A. A. Klassicheskaya teoriya polya: novyye problemy [Classical Field Theory: new challenges]. Moscow-Leningrad: GITTL, 1951. 480 p.
Review
For citations:
Zakharov A.Yu., Zakharov M.A., Zubkov V.V. Principles of relativistic molecular dynamics. Title in english. 2024;(3(137)):425-435. (In Russ.) https://doi.org/10.34680/2076-8052.2024.3(137).425-435
Views:
18
Email this article 