Molecular dynamics studies of equilibrium configurations of equally charged particles in planar systems with circular symmetry

Nikonov E.G., Nazmitdinov R.G., Glukhovtsev P.I.
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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. Each ring 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
Citation in English: Nikonov E.G., Nazmitdinov R.G., Glukhovtsev P.I. Molecular dynamics studies of equilibrium configurations of equally charged particles in planar systems with circular symmetry // Computer Research and Modeling, 2022, vol. 14, no. 3, pp. 609-618
Citation in English: Nikonov E.G., Nazmitdinov R.G., Glukhovtsev P.I. Molecular dynamics studies of equilibrium configurations of equally charged particles in planar systems with circular symmetry // Computer Research and Modeling, 2022, vol. 14, no. 3, pp. 609-618
DOI: 10.20537/2076-7633-2022-14-3-609-618
URL: http://crm-en.ics.org.ru/journal/article/3202/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

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