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Title
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Dispersion relations for circular single and double dusty plasma chains
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Author
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Abstract
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| We derive dispersion relations for a system of identical particles confined in a two-dimensional annular harmonic well and which interact through a Yukawa potential, e.g., a dusty plasma ring. When the particles are in a single chain (i.e., a one-dimensional ring), we find a longitudinal acoustic mode and a transverse optical mode which show approximate agreement with the dispersion relation for a straight configuration for large radii of the ring. When the radius decreases, the dispersion relations modify: there appears an anticrossing of the modes near the crossing point resulting in a frequency gap between the lower and upper branches of the modified dispersion relations. For the double chain (i.e., a two-dimensional zigzag configuration), the dispersion relation has four branches: longitudinal acoustic and optical and transverse acoustic and optical. |
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Language
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English
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Source (journal)
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Physics of plasmas. - Woodbury, N.Y.
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Publication
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Woodbury, N.Y.
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2011
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ISSN
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1070-664X
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DOI
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10.1063/1.3651194
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Volume/pages
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18
:10
(2011)
, p. 103709,1-103709,10
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Article Reference
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103709
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ISI
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000296529600090
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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