Abstract
The formation conditions and stability criteria for small-size cluster systems consisting of several particles interacting via an arbitrary isotropic pair potential are considered. Analytical criteria for instability development in horizontal (quasi-two-dimensional) and vertical (chain) structures consisting of three, four, and five charged particles are obtained for the first time. A simple algorithm to search for similar criteria in systems consisting of a larger number of particles is proposed. The obtained relations are verified by numerically solving the problem for Yukawa systems.
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Original Russian Text © O.S. Vaulina, I.I. Lisina, E.A. Lisin, 2018, published in Fizika Plazmy, 2018, Vol. 44, No. 2, pp. 229–237.
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Vaulina, O.S., Lisina, I.I. & Lisin, E.A. Formation Conditions and Stability Criteria for Small-Size Cluster Systems. Plasma Phys. Rep. 44, 270–277 (2018). https://doi.org/10.1134/S1063780X18020137
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DOI: https://doi.org/10.1134/S1063780X18020137