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arXiv 1406.6330physics.plasm-ph
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尘埃团中的模式耦合和共振不稳定性

Mode couplings and resonance instabilities in dust clusters

Ke Qiao, Jie Kong, Eric Van Oeveren, Lorin S. Matthews, Truell W. Hyde

摘要:

用N体模拟方法研究了复杂等离子体中3 ~ 7粒子二维尘埃团簇的简正模。每个粒子的离子尾场下游示出诱导水平和垂直模式之间的耦合。模式耦合的规则进行了研究,通过分类的模式本征矢量采用贝塞尔和三角函数索引的阶数(m,n)。结果表明,耦合只发生在两个模式之间具有相同的m和水平模式具有较高的剪切贡献表现出较弱的耦合。三种类型的共振时,两个耦合模式具有相同的频率。第一和第三类共振引起的离散不稳定性进行了验证,第三类共振引起的不稳定性被发现诱导熔化。熔化过程是一个两步的过程,其固液相变严格遵守Lindemann判据。

英文摘要:

The normal modes for three to seven particle two-dimensional (2D) dust clusters in a complex plasma are investigated using an N-body simulation. The ion wakefield downstream of each particle is shown to induce coupling between horizontal and vertical modes. The rules of mode coupling are investigated by classifying the mode eigenvectors employing the Bessel and trigonometric functions indexed by order integers (m, n). It is shown that coupling only occurs between two modes with the same m and that horizontal modes having a higher shear contribution exhibit weaker coupling. Three types of resonances are shown to occur when two coupled modes have the same frequency. Discrete instabilities caused by both the first and third type of resonances are verified and instabilities caused by the third type of resonance are found to induce melting. The melting procedure is observed to go through a two-step process with the solid-liquid transition closely obeying the Lindemann criterion.

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