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Title: Two-dimensional and three-dimensional Coulomb clusters in parabolic traps

Abstract

We consider the shell structure of Coulomb clusters in an axially symmetric parabolic trap exhibiting a confining potential U{sub c}(ρ,z)=(mω{sup 2}/2)(ρ{sup 2}+αz{sup 2}). Assuming an anisotropic parameter α = 4 (corresponding to experiments employing a cusp magnetic trap under microgravity conditions), we have calculated cluster configurations for particle numbers N = 3 to 30. We have shown that clusters with N ≤ 12 initially remain flat, transitioning to three-dimensional configurations as N increases. For N = 8, we have calculated the configurations of minimal potential energy for all values of α and found the points of configuration transitions. For N = 13 and 23, we discuss the influence of both the shielding and anisotropic parameter on potential energy, cluster size, and shell structure.

Authors:
;  [1];  [1];  [2];  [3]; ; ;  [4]
  1. Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow 125412 (Russian Federation)
  2. (State University), Dolgoprudny 141700, Moscow Region (Russian Federation)
  3. (CASPER), Baylor University, Waco, Texas 76798-7310 (United States)
  4. Center for Astrophysics, Space Physics, and Engineering Research (CASPER), Baylor University, Waco, Texas 76798-7310 (United States)
Publication Date:
OSTI Identifier:
22303669
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 21; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AXIAL SYMMETRY; CONFIGURATION; CUSPED GEOMETRIES; NITROGEN 13; POTENTIAL ENERGY; POTENTIALS; SHIELDING; THREE-DIMENSIONAL CALCULATIONS; TRAPS; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

D'yachkov, L. G., E-mail: dyachk@mail.ru, Myasnikov, M. I., E-mail: miasnikovmi@mail.ru, Petrov, O. F., Moscow Institute of Physics and Technology, Center for Astrophysics, Space Physics, and Engineering Research, Hyde, T. W., Kong, J., and Matthews, L. Two-dimensional and three-dimensional Coulomb clusters in parabolic traps. United States: N. p., 2014. Web. doi:10.1063/1.4885637.
D'yachkov, L. G., E-mail: dyachk@mail.ru, Myasnikov, M. I., E-mail: miasnikovmi@mail.ru, Petrov, O. F., Moscow Institute of Physics and Technology, Center for Astrophysics, Space Physics, and Engineering Research, Hyde, T. W., Kong, J., & Matthews, L. Two-dimensional and three-dimensional Coulomb clusters in parabolic traps. United States. doi:10.1063/1.4885637.
D'yachkov, L. G., E-mail: dyachk@mail.ru, Myasnikov, M. I., E-mail: miasnikovmi@mail.ru, Petrov, O. F., Moscow Institute of Physics and Technology, Center for Astrophysics, Space Physics, and Engineering Research, Hyde, T. W., Kong, J., and Matthews, L. Mon . "Two-dimensional and three-dimensional Coulomb clusters in parabolic traps". United States. doi:10.1063/1.4885637.
@article{osti_22303669,
title = {Two-dimensional and three-dimensional Coulomb clusters in parabolic traps},
author = {D'yachkov, L. G., E-mail: dyachk@mail.ru and Myasnikov, M. I., E-mail: miasnikovmi@mail.ru and Petrov, O. F. and Moscow Institute of Physics and Technology and Center for Astrophysics, Space Physics, and Engineering Research and Hyde, T. W. and Kong, J. and Matthews, L.},
abstractNote = {We consider the shell structure of Coulomb clusters in an axially symmetric parabolic trap exhibiting a confining potential U{sub c}(ρ,z)=(mω{sup 2}/2)(ρ{sup 2}+αz{sup 2}). Assuming an anisotropic parameter α = 4 (corresponding to experiments employing a cusp magnetic trap under microgravity conditions), we have calculated cluster configurations for particle numbers N = 3 to 30. We have shown that clusters with N ≤ 12 initially remain flat, transitioning to three-dimensional configurations as N increases. For N = 8, we have calculated the configurations of minimal potential energy for all values of α and found the points of configuration transitions. For N = 13 and 23, we discuss the influence of both the shielding and anisotropic parameter on potential energy, cluster size, and shell structure.},
doi = {10.1063/1.4885637},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 9,
volume = 21,
place = {United States},
year = {2014},
month = {9}
}