Large-amplitude dust-acoustic solitary waves in an electron-depleted hot dusty plasma with trapped ions

A theoretical model is presented to show the existence, formation, and possible realization of large-amplitude dust-acoustic solitary potentials in electron-depleted hot dusty plasma with trapped ions. These nonlinear localized structures are self-consistent solutions of the Vlasov equation in which the ion response is non-Maxwellian due to the ion trapping in the large-amplitude plasma potentials. Emphasis is given to the role of the grain temperature. Interestingly, one finds that the effect of increasing the dust temperature is to restrict the domain of allowable Mach numbers. The latter enlarges when the relative amount of trapped ions is increased. Furthermore, the nonlinear potential shrinks and exhibits smaller depth and smaller width than the one involving cold dust grains. The strong localization of the dust particles becomes less pronounced when the dust temperature is increased. The results complement and provide new insights into previously published results on this problem and their relevance...

[1]  E. Thomas,et al.  Observations of dust acoustic waves driven at high frequencies , 2007 .

[2]  S. Mahmood,et al.  Effects of adiabatic hot dust on arbitrary amplitude electrostatic solitary structures in magnetoplasmas , 2007 .

[3]  Leila Ait Gougam,et al.  Large amplitude electrostatic solitary structures in a charge-varying dusty plasma with two-temperature trapped ions , 2007 .

[4]  T. H. Zerguini,et al.  Nonlinear plasma voids (holes) in a charge-varying dusty plasma , 2005 .

[5]  A. Luque,et al.  Electrostatic trapping as a key to the dynamics of plasmas, fluids and other collective systems , 2005 .

[6]  S. El-Labany,et al.  Critical density solitary waves structures in a hot magnetized dusty plasma with vortexlike ion distribution in phase space , 2005 .

[7]  Abdullah Al Mamun,et al.  Theory for plasma and dust voids in a complex plasma , 2005, Journal of Plasma Physics.

[8]  Abdullah Al Mamun,et al.  Dust-acoustic solitary and shock waves in a strongly coupled liquid state dusty plasma with a vortex-like ion distribution , 2004 .

[9]  N. S. Saini,et al.  Dust-acoustic solitary waves in a finite temperature dusty plasma with variable dust charge and two temperature ions , 2004, Journal of Plasma Physics.

[10]  Abdullah Al Mamun,et al.  Dust acoustic solitary waves and double layers in a dusty plasma with two-temperature trapped ions , 2004 .

[11]  Jian-an Sun,et al.  Envelop solitons in dusty plasmas for warm dust , 2003 .

[12]  Abdullah Al Mamun,et al.  Solitons, shocks and vortices in dusty plasmas , 2003 .

[13]  Samiran Ghosh,et al.  Effect of nonadiabatic dust charge variations on nonlinear dust acoustic waves with nonisothermal ions , 2002 .

[14]  B. Kadomtsev,et al.  Reviews of Plasma Physics , 2012 .

[15]  D. Tskhakaya,et al.  Effect of trapped ions on shielding of a charged dust grain in a plasma , 2001 .

[16]  Abdullah Al Mamun,et al.  Introduction to Dusty Plasma Physics , 2001 .

[17]  G. Ganguli,et al.  Effect of trapped ions on shielding of a charged spherical object in a plasma. , 2001, Physical review letters.

[18]  G. Ganguli,et al.  Interactions between dust grains in a dusty plasma , 2000 .

[19]  Yuri S. Kivshar,et al.  Self-focusing and transverse instabilities of solitary waves , 2000 .

[20]  Abdullah Al Mamun,et al.  Large amplitude electrostatic solitary structures in a hot non- thermal dusty plasma , 2000 .

[21]  D. Winske.  Waves in Dusty Space Plasmas , 2000 .

[22]  P. Shukla.  Dust ion-acoustic shocks and holes , 2000 .

[23]  R. Merlino,et al.  Experimental study of shock formation in a dusty plasma , 1999 .

[24]  A. Mamun.  Obliquely Propagating Solitary Dust-Acoustic Holes in a Hot Magnetized Two-Ion-Temperature Dusty Plasma , 1999 .

[25]  M. Kakati,et al.  Solitary wave structures in presence of nonisothermal ions in a dusty plasma , 1998 .

[26]  Abdullah Al Mamun,et al.  Obliquely propagating electrostatic solitary structures in a magnetized hot dusty plasma with trapped ions , 1998 .

[27]  Abdullah Al Mamun.  Effects of dust temperature and fast ions on gravitational instability in a self-gravitating magnetized dusty plasma , 1998 .

[28]  Abdullah Al Mamun,et al.  Obliquely Propagating Electrostatic Solitary Structures in a Hot Magnetized Dusty Plasma , 1998 .

[29]  Abdullah Al Mamun.  Nonlinear propagation of dust-acoustic waves in a magnetized dusty plasma with vortex-like ion distribution , 1998, Journal of Plasma Physics.

[30]  A. Mamun.  Solitary Waves in a Three-component Dusty Plasma with Trapped Ions , 1998 .

[31]  Y. Shchekinov.  Dust-acoustic soliton with nonisothermal ions☆ , 1997 .

[32]  R. Merlino,et al.  Potential relaxation instability and ion acoustic waves in a single-ended Q-machine dusty plasma , 1996 .

[33]  Mihaly Horanyi,et al.  CHARGED DUST DYNAMICS IN THE SOLAR SYSTEM , 1996 .

[34]  Abdullah Al Mamun,et al.  Effects of vortex‐like and non‐thermal ion distributions on non‐linear dust‐acoustic waves , 1996 .

[35]  N. N. Rao,et al.  Coulomb crystallization in colloidal plasmas with streaming ions and dust grains , 1996 .

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

[37]  Abdullah Al Mamun,et al.  Solitary potentials in dusty plasmas , 1996 .

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

[39]  R. Merlino,et al.  Laboratory experiments on electrostatic ion cyclotron waves in a dusty plasma , 1995 .

[40]  D. A. Mendis,et al.  COSMIC DUSTY PLASMA , 1994 .

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

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

[43]  C. Goertz,et al.  Dusty plasmas in the solar system , 1989 .

[44]  V. Formisano,et al.  Ion plasma waves in dusty plasmas: Halley's comet , 1988, Journal of Plasma Physics.

[45]  H. Schamel,et al.  Electron holes, ion holes and double layers: Electrostatic phase space structures in theory and experiment , 1986 .

[46]  H. Schamel.  Stability of electron vortex structures in phase space , 1982 .

[47]  G. Rowlands,et al.  Three dimensional stability of solutions of the nonlinear Schrödinger equation , 1980 .

[48]  H. Schamel.  Role of Trapped Particles and Waves in Plasma Solitons-Theory and Application , 1979 .

[49]  H. Schamel.  Theory of Electron Holes , 1979 .

[50]  M. Tran.  Ion Acoustic Solitons in a Plasma: A Review of their Experimental Properties and Related Theories , 1979 .

[51]  H. Schamel.  Analytic BGK modes and their modulational instability , 1975, Journal of Plasma Physics.

[52]  H. Schamel.  A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons , 1973, Journal of Plasma Physics.

[53]  H. Schamel.  Stationary solitary, snoidal and sinusoidal ion acoustic waves , 1972 .

[54]  H. Washimi,et al.  ON THE PROPAGATION OF ION ACOUSTIC SOLITARY WAVES OF SMALL AMPLITUDE. , 1966 .