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This article is cited in 2 scientific papers (total in 2 papers)
MODELS IN PHYSICS AND TECHNOLOGY
Molecular dynamics studies of equilibrium configurations of equally charged particles in planar systems with circular symmetry
E. G. Nikonovab, R. G. Nazmitdinovab, P. I. Glukhovtsevab a Joint Institute for Nuclear Research,
6 Jolio-Curie st., Dubna, Moscow region, 141980, Russia
b Dubna University,
19 Universitetskaya st., Dubna, Moscow region, 141980, Russia
Abstract:
The equilibrium configurations of charged electrons, confined in the hard disk potential, are analysed by means of the hybrid numerical algorithm. The algorithm is based on the interpolation formulas, that are obtained from the analysis of the equilibrium configurations, provided by the variational principle developed in the circular model. The solution of the nonlinear equations of the circular model yields the formation of the shell structure which is composed of the series of rings. Eachring contains a certain number of particles, which decreases as one moves from the boundary ring to the central one. The number of rings depends on the total number of electrons. The interpolation formulas provide the initial configurations for the molecular dynamics calculations. This approach makes it possible to significantly increase the speed at which an equilibrium configuration is reached for an arbitrarily chosen number of particles compared to the Metropolis annealing simulation algorithm and other algorithms based on global optimization methods.
Keywords:
Tomson atom, Wigner crystal, molecular dynamics.
Received: 24.03.2022 Revised: 27.05.2022 Accepted: 30.05.2022
Citation:
E. G. Nikonov, R. G. Nazmitdinov, P. I. Glukhovtsev, “Molecular dynamics studies of equilibrium configurations of equally charged particles in planar systems with circular symmetry”, Computer Research and Modeling, 14:3 (2022), 609–618
Linking options:
https://www.mathnet.ru/eng/crm986 https://www.mathnet.ru/eng/crm/v14/i3/p609
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Abstract page: | 70 | Full-text PDF : | 26 | References: | 16 |
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