尘埃等离子体中的尘埃声波和稳定性：I。麦克斯韦分布
Dust-acoustic waves and stability in the permeating dusty plasma: I. Maxwellian distribution
摘要：
研究了具有麦克斯韦速度分布的尘埃等离子体中的尘埃声波及其稳定性。在流动尘埃等离子体的热速度（a）远大于和（b）远小于波的相速度的两种极限物理情况下，我们导出了尘埃声波的频率和不稳定性增长率。我们发现，波的稳定性强烈地依赖于尘埃等离子体的速度的流动的尘埃等离子体中的渗透尘埃等离子体。以彗星等离子体尾穿过行星际空间等离子体为例进行了数值分析。我们表明，在情况（a）中，波一般是不稳定的任何流动速度，但在情况（b）中，波变得不稳定，只有当波数很小，流动速度很大。当物理条件介于这两种极限情况之间时，我们得到了一个强有力的洞察力的稳定性判据的依赖性的物理条件的渗透尘埃等离子体。
英文摘要：
The dust-acoustic waves and their stability in the permeating dusty plasma with the Maxwellian velocity distribution are investigated. We derive the dust-acoustic wave frequency and instability growth rate in two limiting physical cases that the thermal velocity of the flowing dusty plasma is (a) much larger than, and (b) much smaller than the phase velocity of the waves. We find that the stability of the waves depend strongly on the velocity of the flowing dusty plasma in the permeating dusty plasma. The numerical analyses are made based on the example that a cometary plasma tail is passing through the interplanetary space plasma. We show that, in case (a), the waves are generally unstable for any flowing velocity, but in case (b), the waves become unstable only when the wave number is small and the flowing velocity is large. When the physical conditions are between these two limiting cases, we gain a strong insight into the dependence of the stability criterions on the physical conditions in the permeating dusty plasma.
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