Abstract
A system of oscillators forming a 2D lattice featuring the Lennard-Jones interaction, represented as a mathematically averaged ensemble of almost identical systems, is numerically modeled. The results show that an unstable configuration of oscillators can be retained over a greater time interval as compared to that for a single square lattice. A total energy of the system constructed as a mathematically averaged ensemble of almost identical systems is conserved up to the moment of losing stability and is not conserved after that, whereas the total energy of each system in the ensemble is conserved.
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O. I. Gorskii, V. A. Dzenzerskii, and Yu. P. Kuchugurnyi, Pis’ma Zh. Tekh. Fiz. 22(15), 49 (1996) [Tech. Phys. Lett. 22, 621 (1996)].
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 28, No. 19, 2002, pp. 62–70.
Original Russian Text Copyright © 2002 by Gorski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Kuchugurny\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \).
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Gorskii, O.I., Kuchugurnyi, Y.P. Modeling an ensemble of systems coupled by the Lennard-Jones interaction. Tech. Phys. Lett. 28, 824–827 (2002). https://doi.org/10.1134/1.1519019
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DOI: https://doi.org/10.1134/1.1519019