Effects of dust size distribution on nonlinear waves in a dusty plasma

doi:10.1088/1674-1056/18/6/003

中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2121-2128.doi: 10.1088/1674-1056/18/6/003

Effects of dust size distribution on nonlinear waves in a dusty plasma

陈建宏

Department of Physics, Lanzhou City University, Lanzhou 730070, China

收稿日期:2008-08-20 修回日期:2008-10-22 出版日期:2009-06-20 发布日期:2009-06-20

Effects of dust size distribution on nonlinear waves in a dusty plasma

Chen Jian-Hong(陈建宏)^†

Department of Physics, Lanzhou City University, Lanzhou 730070, China

Received:2008-08-20 Revised:2008-10-22 Online:2009-06-20 Published:2009-06-20

摘要/Abstract

摘要： For two-dimensional unmagnetized dusty plasmas with many different dust grain species, a Kadomtsev--Petviashvili (KP) equation, a modified KP (mKP) equation and a coupled KP(cKP) equation for small, but finite amplitude dust-acoustic solitary waves are obtained for different physical conditions respectively. The influence of an arbitrary dust size distribution described by a polynomial expressed function on the properties of dust-acoustic solitary waves is investigated numerically. How dust size distribution affects the sign and the magnitude of nonlinear coefficient A (D) of KP (mKP) equation is also discussed in detail. It is noted that whether a compressive or a rarefactive solitary wave exists depends on the dust size distribution in some dusty plasmas.

关键词: dusty plasmas, solitary waves, dust size distribution

Abstract: For two-dimensional unmagnetized dusty plasmas with many different dust grain species, a Kadomtsev--Petviashvili (KP) equation, a modified KP (mKP) equation and a coupled KP(cKP) equation for small, but finite amplitude dust-acoustic solitary waves are obtained for different physical conditions respectively. The influence of an arbitrary dust size distribution described by a polynomial expressed function on the properties of dust-acoustic solitary waves is investigated numerically. How dust size distribution affects the sign and the magnitude of nonlinear coefficient A (D) of KP (mKP) equation is also discussed in detail. It is noted that whether a compressive or a rarefactive solitary wave exists depends on the dust size distribution in some dusty plasmas.

Key words: dusty plasmas, solitary waves, dust size distribution

中图分类号: (Dusty or complex plasmas; plasma crystals)

52.27.Lw

52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)) 52.35.Sb (Solitons; BGK modes)

陈建宏. Effects of dust size distribution on nonlinear waves in a dusty plasma[J]. 中国物理B, 2009, 18(6): 2121-2128.

Chen Jian-Hong(陈建宏). Effects of dust size distribution on nonlinear waves in a dusty plasma[J]. Chin. Phys. B, 2009, 18(6): 2121-2128.

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Effects of dust size distribution on nonlinear waves in a dusty plasma

Effects of dust size distribution on nonlinear waves in a dusty plasma

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