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Title: Formation Conditions and Stability Criteria for Small-Size Cluster Systems

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.

Authors:
; ;  [1]
  1. Russian Academy of Sciences, Joint Institute for High Temperatures (Russian Federation)
Publication Date:
OSTI Identifier:
22763296
Resource Type:
Journal Article
Journal Name:
Plasma Physics Reports
Additional Journal Information:
Journal Volume: 44; Journal Issue: 2; Other Information: Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-780X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; ATOMIC CLUSTERS; CHARGED PARTICLES; INSTABILITY; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Vaulina, O. S., E-mail: olga.vaulina@bk.ru, Lisina, I. I., E-mail: irina.lisina@mail.ru, and Lisin, E. A., E-mail: eaLisin@yandex.ru. Formation Conditions and Stability Criteria for Small-Size Cluster Systems. United States: N. p., 2018. Web. doi:10.1134/S1063780X18020137.
Vaulina, O. S., E-mail: olga.vaulina@bk.ru, Lisina, I. I., E-mail: irina.lisina@mail.ru, & Lisin, E. A., E-mail: eaLisin@yandex.ru. Formation Conditions and Stability Criteria for Small-Size Cluster Systems. United States. doi:10.1134/S1063780X18020137.
Vaulina, O. S., E-mail: olga.vaulina@bk.ru, Lisina, I. I., E-mail: irina.lisina@mail.ru, and Lisin, E. A., E-mail: eaLisin@yandex.ru. Thu . "Formation Conditions and Stability Criteria for Small-Size Cluster Systems". United States. doi:10.1134/S1063780X18020137.
@article{osti_22763296,
title = {Formation Conditions and Stability Criteria for Small-Size Cluster Systems},
author = {Vaulina, O. S., E-mail: olga.vaulina@bk.ru and Lisina, I. I., E-mail: irina.lisina@mail.ru and Lisin, E. A., E-mail: eaLisin@yandex.ru},
abstractNote = {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.},
doi = {10.1134/S1063780X18020137},
journal = {Plasma Physics Reports},
issn = {1063-780X},
number = 2,
volume = 44,
place = {United States},
year = {2018},
month = {2}
}