Title
Dispersion relations for circular single and double dusty plasma chains Dispersion relations for circular single and double dusty plasma chains
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Woodbury, N.Y. ,
Subject
Physics
Source (journal)
Physics of plasmas. - Woodbury, N.Y.
Volume/pages
18(2011) :10 , p. 103709,1-103709,10
ISSN
1070-664X
ISI
000296529600090
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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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