A note on the trapped electron dust grain current

Abstract It is shown that when the non-isothermal trapped electron current is rederived based on the orbit-limited motion theory, the variable dust charge can be expressed in terms of the Lambert function. One can then take advantage of this new transcendental function to illustrate how variable-charge nonlinear trapped dust modes can be investigated semi-analytically.

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

[2]  A. Chowdhury,et al.  Solitary waves in a dusty plasma with charge fluctuation and dust size distribution and vortex like ion distribution , 2006 .

[3]  W. Moslem.  Dust-ion-acoustic solitons in a strong magnetic field , 2006 .

[4]  Eric C. Benck,et al.  Plasma Diagnostic Techniques , 2006 .

[5]  W. F. El-Taibany,et al.  Effect of two-temperature trapped electrons to nonlinear dust-ion-acoustic solitons , 2005 .

[6]  E. F. El-Shamy.  Dust-ion-acoustic solitary waves in a hot magnetized dusty plasma with charge fluctuations , 2005 .

[7]  W. F. El-Taibany,et al.  Dust-ion-acoustic solitons with transverse perturbation , 2005 .

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

[9]  S. El-Labany,et al.  Higher order solution of the dust ion acoustic solitons in a warm dusty plasma with vortex-like electron distribution , 2005 .

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

[11]  S. El-Labany,et al.  Dust acoustic solitary waves and double layers in a dusty plasma with trapped electrons , 2003 .

[12]  S. El-Labany,et al.  Effects of trapped electron temperature, dust charge variations, and grain radius on the existence of the dust-ion-acoustic waves , 2003 .

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

[14]  T. H. Zerguini,et al.  Nonlinear oscillations in dusty plasmas with variable charges on dust particles , 2002 .

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

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

[17]  Y. Nejoh.  The nonlinear dustgrain-charging on large amplitude electrostatic waves in a dusty plasma with trapped ions , 1998 .

[18]  Y. Nejoh.  The dust charging effect on electrostatic ion waves in a dusty plasma with trapped electrons , 1997 .

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

[20]  Keller,et al.  Transport of dust particles in glow-discharge plasmas. , 1992, Physical review letters.

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

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

[23]  E. Whipple,et al.  Potentials of surfaces in space , 1981 .