We investigate the Weibel instability (WI) in a dusty plasma which is driven to oscillation by the addition of dust grains in the plasma. Our analysis predicts the existence of three modes in a dusty plasma. There is a high-frequency electromagnetic mode, whose frequency increases with an increase in the relative number density of dust grains and which approaches instability due to the presence of dust grains. The second mode is a damping mode which exists due to dust charge fluctuations in plasma. The third mode is the oscillating WI mode. The dispersion relation and the growth rate of various modes in the dusty plasma are derived using the first-order perturbation theory. The effect of dust grain parameters on frequency and growth rate is also studied and reported.

中文翻译：

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具有逆流电子的尘埃等离子体中的 Weibel 不稳定性振荡

我们研究了尘埃等离子体中的 Weibel 不稳定性 (WI)，它通过在等离子体中添加尘埃颗粒而驱动振荡。我们的分析预测在尘土飞扬的等离子体中存在三种模式。存在一种高频电磁模式，其频率随着尘粒相对数密度的增加而增加，并且由于尘粒的存在而趋于不稳定。第二种模式是由于等离子体中的尘埃电荷波动而存在的阻尼模式。第三种模式是振荡WI模式。利用一阶微扰理论推导出尘埃等离子体中各种模式的色散关系和增长速率。还研究和报告了粉尘颗粒参数对频率和生长速率的影响。