中国物理B ›› 2009, Vol. 18 ›› Issue (11): 4938-4943.doi: 10.1088/1674-1056/18/11/053

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Dispersion relations of lattice waves in three-dimensional strongly coupled complex plasma crystals

刘悦1, 杨雪峰2, 王晓钢3   

  1. (1)School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China; (2)School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; (3)School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Nuclear Physics & Technology, School of Physics, Peking University, Beijing 100871, China
  • 收稿日期:2009-03-08 修回日期:2009-05-06 出版日期:2009-11-20 发布日期:2009-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40731056, 10778613 and 10575018), and the National Basic Research Program of China (Grant No 2008CB787103).

Dispersion relations of lattice waves in three-dimensional strongly coupled complex plasma crystals

Yang Xue-Feng(杨雪峰)a)c), Wang Xiao-Gang(王晓钢)a)b)†, and Liu Yue(刘悦)a)   

  1. a School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China; b State Key Laboratory of Nuclear Physics & Technology, School of Physics, Peking University, Beijing 100871, China; c Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
  • Received:2009-03-08 Revised:2009-05-06 Online:2009-11-20 Published:2009-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40731056, 10778613 and 10575018), and the National Basic Research Program of China (Grant No 2008CB787103).

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摘要： Dispersion relation matrices, with the screened Coulomb interaction between a charged dust particle and all other particles taken into account, are derived for waves in body centred cubic (bcc) and face centred cubic (fcc) lattices in three-dimensional strongly coupled complex plasma crystals separately. The matrices are then calculated in characteristic directions to obtain the longitudinal and transverse eigenmodes. The longitudinal and transverse waves for these cases are discussed separately.

Abstract: Dispersion relation matrices, with the screened Coulomb interaction between a charged dust particle and all other particles taken into account, are derived for waves in body centred cubic (bcc) and face centred cubic (fcc) lattices in three-dimensional strongly coupled complex plasma crystals separately. The matrices are then calculated in characteristic directions to obtain the longitudinal and transverse eigenmodes. The longitudinal and transverse waves for these cases are discussed separately.

Key words: plasma crystals, dispersion relation matrices

中图分类号:  (Dusty or complex plasmas; plasma crystals)

  • 52.27.Lw
52.35.-g (Waves, oscillations, and instabilities in plasmas and intense beams)