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TVT, 2015, Volume 53, Issue 5, Pages 649–657 (Mi tvt7993)  

This article is cited in 13 scientific papers (total in 13 papers)

Plasma Investigations

A simple analytical model of the Coulomb cluster in a cylindrically symmetric parabolic trap

L. G. D'yachkov

Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow

Abstract: A cluster consisting of classical charged particles of the same sign in a cylindrically symmetric parabolic trap is considered in the approximation of a homogeneous distribution of particles over the cluster volume and with neglect of its discrete structure. Simple analytical expressions for the cluster size and potential energy in a trap of arbitrary anisotropy (the ratio of confining forces acting in the radial and axial directions) are obtained. The influence of possible inhomogeneity in the distribution of particles is estimated, and it is established that this factor weakly influences the potential energy of a cluster. The limiting case of a two-dimensional cluster is considered. The adopted approximation is valid for clusters with a sufficiently large numbers of particles. Application of the model to relatively small clusters is possible by introducing correction factors into the analytical expressions obtained. These factors are determined based on approximation of the results of numerical simulations.

DOI: https://doi.org/10.7868/S0040364415050105

Full text: PDF file (386 kB)
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English version:
High Temperature, 2015, 53:5, 613–621

Bibliographic databases:

UDC: 533.9; 537.21
Received: 20.01.2015
Accepted:16.06.2015

Citation: L. G. D'yachkov, “A simple analytical model of the Coulomb cluster in a cylindrically symmetric parabolic trap”, TVT, 53:5 (2015), 649–657; High Temperature, 53:5 (2015), 613–621

Citation in format AMSBIB
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\paper A simple analytical model of the Coulomb cluster in a cylindrically symmetric parabolic trap
\jour TVT
\yr 2015
\vol 53
\issue 5
\pages 649--657
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\crossref{https://doi.org/10.7868/S0040364415050105}
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\jour High Temperature
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\vol 53
\issue 5
\pages 613--621
\crossref{https://doi.org/10.1134/S0018151X15050107}
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