双离子成份等离子体的离子声色散关系
An analytical approach to dispersion relation for ion-acoustic waves in two-species plasmas
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摘要: 以离子温度与电子温度之比为参数,将等离子体介电函数作展开,由此解析地求解了双离子成分等离子体的离子声快、慢波模的色散关系。与现有的其它解析理论相比较,所得到的解析公式更加准确。Abstract: There can exist two kinds of ion-acoustic waves in a plasma, i.e. fast mode and slow mode, if the plasma consists of two ion species which masses are greatly different from each other. Fast and slow mode are mainly due to the motions of light ions and heavy ions, respectively. A systematic perturbation method is used to analytically calculate the frequencies and damping rates of the two modes. The method developed by McKinstrie et al, is based upon the expansion of plasma dispersion relation in a power series of Ti /Te, where Ti,e are te ion and electron temperatures. Comparing with the results obtained from numerical solution shows that the formulae obtained in this paper can give more accurate results than previous studies, such as presented by Williams et al.
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Key words:
- two-species plasma /
- ion-acoustic wave /
- dispersion relation
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