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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 3, p.217-229
https://doi.org/10.15407/ujpe62.03.0217    Paper

Lev B.I., Tymchyshyn V.B., Zagorodny A.G.

Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14b, Metrolohichna Str., Kyiv 03680, Ukraine; e-mail: blev@bitp.kiev.ua, yu.binkukoku@gmail.com, azagorodny@bitp.kiev.ua)

Potential Energy Analysis for a System of Interacting Particles Arranged in a Bravais Lattice

Section: Plasmas and Gases
Original Author's Text: Ukrainian/English

Abstract: We propose a method to calculate the type of a lattice formed by grains in dusty plasma and estimate its potential energy. Basically, this task is complicated by the interparticle potential that appertains to “catastrophic potentials”. This kind of potentials needs special approaches to avoid divergences during potential energy calculations. In the current contribution, we will develop all the necessary modifications to appropriate methods. It will be shown that the obtained potential energy expression can be used to determine lattice parameters and these parameters comply to known experimental data.

Key words:  Coulomb potential, dusty plasma, potential energy, Bravais lattice.