Linear and nonlinear dust lattice waves in plasma crystals

Effects of polarization force and nonthermal ions on dust-acoustic (DA) shock waves in a strongly coupled dusty plasma with positively charged dust

“…To the next higher order in , i.e. taking the coefficients of 3 from both sides of (3) and (4), and 2 from both sides of (5), one can obtain another set of coupled equations for (2) , (2) , and φ (2) , which, along with the first set of coupled linear equations for (1) , (1) , and φ (1) , reduce to a nonlinear dynamical equation of the form where the nonlinear coefficient A normalized by T / and the disipitative coefficient C are given by…”

“…The linear properties of the dust-acoustic (DA) waves (in which dust particle mass provides the inertia, and electron and ion thermal pressures provide the restoring force) as well as dust-lattice (DL) waves (in which inertia comes from the dust mass and the restoring force comes from the Debye-Hückel interaction) in a strongly coupled dusty plasma system have been rigorously investigated by many authors during the last decade [1][2][3][4][5]. About a decade ago, Rao et al [6] theoritically predicted the existance of linear and nonlinear dust-acoustic waves in an unmagnetized dusty plasma, in which the dust grains are weakly correlated so that the electrostatic energy of shielded grains is much smaller than the kinetic energy of the dust particles.…”

Large amplitude double layers in a four component dusty plasma with non-thermal ions

“…Nonlinear wave phenomena like soliton, shocks and vortices in dusty plasmas have also been studied by several investigators for the last two decades [12][13][14][15][16][17][18][19][20][21][22] or so. For the recent discovery of dust acoustic wave (DAW) [15,16], dust ion-acoustic wave (DIAW) [17,18] and dust lattice (DL) wave [19,20] makes this dusty plasma research more important. However, most of the investigations are done by considering three component dusty plasma systems consisting of ions, electrons and negatively charged dust particles [27][28][29].…”

Speed and Shape of Electrostatic Waves in Dust-Ion Plasma

“…The discovery of dust acoustic wave (DAW) [16,17] and dust-ion acoustic wave (DIAW) [18,19] gave a new impetus to the study of waves in dusty plasmas. Later it was found that the dust grain dynamics also introduced few new eigen modes like DustBerstain-Greene-Kruskal (DBGK) mode, dust-lattice (DL) mode [20,21], Shukla-Verma mode [22], dustdrift mode [23].…”