Effect of polarization force on the propagation of dust acoustic solitary waves

We report the modifications in the propagation characteristics of dust acoustic solitary waves (DASWs) due to the polarization force acting on micron- size dust particles in a non-uniform plasma. In the small amplitude limit, we derive a K-dV-type equation and show that there is an increase in the amplitude and a reduction in the width of a solitary structure as the polarization force is enhanced for a given Mach number. For arbitrary amplitude waves we employ the Sagdeev potential method and find that the range of Mach numbers where solitary structures can exist becomes narrower in the presence of the polarization interaction. In both limits there exists a critical value of grain size beyond which the DASW cannot propagate.

[1]  A. Sen,et al.  Driven transverse shear waves in a strongly coupled dusty plasma , 2008, 0805.4514.

[2]  N. N. Rao,et al.  DUST -ACOUSTIC WAVES IN DUSTY PLASMAS , 1990 .

[3]  G. Morfill,et al.  Shock melting of a two-dimensional complex (dusty) plasma. , 2004, Physical review letters.

[4]  G. Morfill,et al.  Dissipative dark soliton in a complex plasma. , 2009 .

[5]  P. Shukla,et al.  Dust ion-acoustic wave , 1992 .

[6]  A. Sen,et al.  Experimental observation of dust-acoustic wave turbulence , 2003 .

[7]  G. Morfill,et al.  Weakly dissipative dust-ion-acoustic solitons. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  G. Morfill,et al.  Electrostatic modes in collisional complex plasmas under microgravity conditions. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  A. Sen,et al.  Experimental observations of transverse shear waves in strongly coupled dusty plasmas. , 2002, Physical review letters.

[10]  P. Kaw.  23pD-1 Collective Low Frequency Modes in Strongly Coupled Dusty Plasmas , 1998 .

[11]  G. Morfill,et al.  Highly resolved self-excited density waves in a complex plasma. , 2007, Physical review letters.

[12]  J. Ma,et al.  Dust–ion–acoustic soliton in an inhomogeneous collisional plasma , 2004 .

[13]  N. N. Rao.  Dust-acoustic KDV solitons in weakly non-ideal dusty plasmas , 1998 .

[14]  O. Havnes,et al.  A new damping effect for the dust-acoustic wave , 1993 .

[15]  H. Dewitt,et al.  Collective modes in strongly correlated yukawa liquids: waves in dusty plasmas. , 2000, Physical review letters.

[16]  R. Merlino,et al.  Dust acoustic waves in a direct current glow discharge , 1997 .

[17]  P. Kaw,et al.  Experimental observation of vertically polarized transverse dust-lattice wave propagating in a one-dimensional strongly coupled dust chain. , 2001, Physical review letters.

[18]  Samsonov,et al.  Transverse waves in a two-dimensional screened-coulomb crystal (Dusty plasma) , 2000, Physical review letters.

[19]  Y. Nakamura,et al.  Observation of Ion-Acoustic Shocks in a Dusty Plasma , 1999 .

[20]  A. Sen,et al.  Experimental study of nonlinear dust acoustic solitary waves in a dusty plasma. , 2008, Physical review letters.

[21]  M. Rosenberg.  Ion- and dust-acoustic instabilities in dusty plasmas , 1993 .

[22]  J. Goree,et al.  Experimental observation of very low-frequency macroscopic modes in a dusty plasma , 1996 .

[23]  A. Sen,et al.  Experimental observation of strong coupling effects on the dispersion of dust acoustic waves in a plasma , 2007, 1604.04548.

[24]  R. Merlino,et al.  Experiments on ion-acoustic waves in dusty plasmas , 1996 .

[25]  Abdullah Al Mamun,et al.  Electrostatic Solitary and Shock Structures in Dusty Plasmas , 2001 .

[26]  J. Goree,et al.  Cutoff wave number for shear waves in a two-dimensional Yukawa system (dusty plasma). , 2006, Physical review letters.

[27]  Abdullah Al Mamun.  Arbitrary Amplitude Dust-acoustic Solitary Structures in aThree-component Dusty Plasma , 1999 .

[28]  J. Ma,et al.  Dust-acoustic soliton in a dusty plasma , 1997 .

[29]  V. Fortov,et al.  Liquid- and crystallike structures in strongly coupled dusty plasmas , 1999, Proceeding of Progress in Plasma Processing of Materials, 2001.

[30]  R. Merlino,et al.  Laboratory studies of waves and instabilities in dusty plasmas , 1998 .

[31]  S. Hamaguchi,et al.  Wave dispersion relations in Yukawa fluids. , 2000, Physical review letters.

[32]  G. Morfill,et al.  Influence of a polarization force on dust acoustic waves. , 2009, Physical review letters.

[33]  J. Goree,et al.  Dispersion relations of longitudinal and transverse waves in two-dimensional screened Coulomb crystals. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  R. Merlino,et al.  Laboratory observation of the dust-acoustic wave mode , 1995 .

[35]  Hamaguchi,et al.  Polarization force on a charged particulate in a nonuniform plasma. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[36]  G. Morfill,et al.  Compressional waves in complex (dusty) plasmas under microgravity conditions , 2003 .

[37]  R. Farouki,et al.  Plasma–particulate interactions in nonuniform plasmas with finite flows , 1994 .

[38]  P. Shukla,et al.  Large amplitude ion-acoustic solitons in a dusty plasma , 1992 .

[39]  G. Morfill,et al.  Dissipative longitudinal solitons in a two-dimensional strongly coupled complex (dusty) plasma. , 2002, Physical review letters.

[40]  Pieper,et al.  Dispersion of Plasma Dust Acoustic Waves in the Strong-Coupling Regime. , 1996, Physical review letters.

[41]  J. Goree,et al.  Observation of shear-wave Mach cones in a 2D dusty-plasma crystal. , 2002, Physical review letters.

[42]  N. D’angelo.  Ion-acoustic waves in dusty plasmas , 1994 .