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Shock wave in a two-dimensional dusty plasma crystal

Phys. Plasmas 16, 103701 (2009); doi:10.1063/1.3240339

Published 8 October 2009

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Samiran Ghosh
Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India
Two-dimensional (2D) shock structures of longitudinal dust lattice wave (LDLW) in a hexagonal Yukawa crystal are studied. The nonlinear evolution equation derived for dusty plasma crystal is found to be a 2D Burgers' equation, where the Burgers' term, i.e., the dissipation is provided by “hydrodynamic damping” due to irreversible processes that take place within the system. Analytical and numerical solutions of this equation on the basis of crystal experimental parameters show the development of compressional shock structures of LDLW in 2D dusty plasma crystal. The shock strength decreases (increases) with the increase in lattice parameter kappa (angle of propagation of the nonlinear wave). The results are discussed in the context of 2D monolayer hexagonal dusty plasma crystal experiments. ©2009 American Institute of Physics
History: Received 21 July 2009; accepted 8 September 2009; published 8 October 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/103701/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.27.Lw
    Dusty or complex plasmas; plasma crystals
  • 52.27.Jt
    Nonneutral plasmas
  • 52.35.Tc
    Shock waves and discontinuities in plasma
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
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