Dust lattice waves in Debye binary dust chain

Abstract

The dust lattice waves in a one-dimensional Debye binary dust chain consisting of two distinct dust particle species with different charges and masses are investigated. It is found that there are two branches for both longitudinal and transverse modes, namely the optical mode of high frequency and the acoustic mode of low frequency, which will be merged into one ordinary longitudinal (transverse) mode of single dust chain. The influence of the parameters, i.e., the dimensionless lattice parameter α, the mass ratio σ, and the charge ratio ε of the two particles, on the dispersion relation of longitudinal and transverse waves is discussed. Furthermore, the branching and the merging of longitudinal and transverse waves are discussed in detail.

Effect of plasma absorption on dust lattice waves in hexagonal dust crystals

“…Dust grains could form a Coulomb lattice, which was first predicted by Ikezi [6] theoretically in 1986, and was observed experimentally by different researchers [7][8][9][10]. There has been considerable interest in the physical characteristics of dust crystals, both from experimentalists [12][13][14][15] and theorists [16][17][18][19][20][21]. Dust lattice waves (DLWs) are triggered by the interaction among the grains of dust crystals, and have become one of the hot issues in the study of dust crystals.…”

Effect of polarization and charge gradient forces on the dust acoustic solitary waves

“…Due to the collective effect, there are different types of wave propagation in dusty plasma both in the laboratory environment as well as in astrophysics and space environment, such as dust acoustic waves (DAWs), [1][2][3] dust ion acoustic waves, 4) dust lattice waves, [5][6][7][8] dust acoustic solitary waves (DASWs), [9][10][11][12][13][14][15][16][17][18] dust shock waves, 19,20) Mach cones 21,22) etc. As an important low frequency wave in dusty plasma, DAWs were first theoretically predicted by Rao et al 1) in 1990, and confirmed experimentally by Barkan et al 2) in 1995.…”