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Formation Conditions and Stability Criteria for Small-Size Cluster Systems

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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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Authors and Affiliations

  1. Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, 125412, Russia

    O. S. Vaulina, I. I. Lisina & E. A. Lisin

Authors
  1. O. S. Vaulina
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  2. I. I. Lisina
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  3. E. A. Lisin
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Correspondence to O. S. Vaulina.

Additional information

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

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