Duan Wen-shan, Parkes John
Department of Physics, Northwest Normal University, Lanzhou 730070, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):067402. doi: 10.1103/PhysRevE.68.067402. Epub 2003 Dec 30.
A reasonable normalization for a magnetized dusty plasma with many different dust grains is adopted, which varies self-consistently with the system parameters. A Zakharov-Kuznetsov equation for small but finite amplitude dust acoustic waves is obtained for magnetized dusty plasma which contains different dust grains by using the reductive perturbation technique. We study the dust size distribution. Some comparisons are made between dusty plasma in which the dust size distribution is considered, and the monosized dusty plasma in which there is only one kind of dust grain whose size is the average dust size. This suggests that both soliton velocity and width are larger than that for monosized dusty plasma, but its amplitude is smaller than that for monosized dusty plasma. If there are positively charged dust grains, compressive solitary waves may exist. The velocity, amplitude, and width of a soliton in multidimensional form for a magnetized dusty plasma which contains many different dust grains are studied as well.
采用了一种适用于具有许多不同尘埃颗粒的磁化尘埃等离子体的合理归一化方法，该方法与系统参数自洽变化。通过约化摄动技术，得到了包含不同尘埃颗粒的磁化尘埃等离子体中小但有限振幅尘埃声波的 Zakharov-Kuznetsov 方程。我们研究了尘埃尺寸分布。对考虑尘埃尺寸分布的尘埃等离子体与仅有一种尺寸为平均尘埃尺寸的单一尘埃颗粒的单一尺寸尘埃等离子体进行了一些比较。这表明孤子速度和宽度都比单一尺寸尘埃等离子体的大，但其振幅比单一尺寸尘埃等离子体的小。如果存在带正电的尘埃颗粒，则可能存在压缩孤波。还研究了包含许多不同尘埃颗粒的磁化尘埃等离子体的多维形式孤子的速度、振幅和宽度。
