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Dispersion relations of lattice waves in three-dimensional strongly coupled complex plasma crystals
Authors:Yang Xue-Feng  Wang Xiao-Gang and Liu Yue
Institution:[1]School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China [2]State Key Laboratory of Nuclear Physics & Technology, School of Physics, Peking University, Beijing 100871, China [3]Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
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.
Keywords:plasma crystals  dispersion relation matrices
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