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Dispersion relations of dust lattice waves in two-dimensional honeycomb configuration

Published online by Cambridge University Press:  22 February 2013

B. FAROKHI
B. FAROKHI*
Affiliation:
Department of physics, Faculty of science, Arak-University, 38156-8-8349 Arak, Iran (b-farokhi@araku.ac.ir)
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Abstract

The linear dust lattice waves propagating in a two-dimensional honeycomb configuration is investigated. The interaction between particles is considered up to distance 2a, i.e. the third-neighbor interactions. Longitudinal and transverse (in-plane) dispersion relations are derived for waves in arbitrary directions. The study of dispersion relations with more neighbor interactions shows that in some cases the results change physically. Also, the dispersion relation in the different direction displays anisotropy of the group velocity in the lattice. The results are compared with dispersion relations of the waves in the hexagonal lattice.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 629 - 633
Copyright
Copyright © Cambridge University Press 2013 

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