Modified screening interaction potential on dust lattice waves in dusty plasma ring

Abstract

In the present paper, the modified screening interaction potential was adopted to investigate the dust lattice waves in dusty ring. Firstly, the influence of parameter ε on the modified screening interaction potential was analyzed; and it was found that the parameter ε has a long-range effect on the pairwise interaction between the particles. Secondly, the dispersion relations of longitudinal and transverse waves are obtained, and the effect of long-range action parameter ε, dimensionless lattice parameter α and dimensionless shielding parameter on the dust lattice waves propagation in dusty ring are studied. Some interesting phenomena, such as the coupling of longitudinal and transverse waves, and instabilities of transverse waves are found, which are in good agreement with some previous works. Finally, the transverse wave instabilities and the relevant critical lattice parameter αc are presented and discussed.

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.…”

The nonlinear longitudinal lattice waves in a one-dimensional dusty chain with the plasma absorption effect

“…However, the interactions between particles are affected by other factors besides the Debye-Hückel potential, such as the plasma absorption effect on the dust particle, [17][18][19] "ion shadowing" interaction caused by constant plasma absorption, 20) ionization and recombination of electrons and ions, 21) "ion wake" due to ion flow in the sheath, 22) corrected shielding potential and so on. 23,24) Nosenko et al studied the parameter excitation process of dust lattice waves, and pointed out that the deviation of simulation results and experimental results may be because the dust particles interaction is not strictly Yukawa potential. 25) Verma et al carefully analyzed the relationship between these shielding potentials containing attractive interactions and longitudinal lattice dispersion in a one-dimensional dust lattice.…”