The effect of polarization force acting on oppositely charged dust grains in magnetized plasma is analysed for obliquely propagating low frequency electrostatic waves with Maxwellian ions, and non-Maxwellian electrons following the hybrid Cairns–Tsallis velocity distribution. It is shown that the polarization force acting on positively charged dust grain is different from the one acting on negatively charged dust grain in the presence of hybrid Cairns–Tsallis distributed electrons. A nonlinear equation in the form of Zakharov–Kuznetsov equation is derived via perturbation analysis for the description of electrostatic solitary structures in the limit of weak-amplitude. A parametric investigation determines the modifications arising in the propagation of dust acoustic soliton due to the presence of polarization force and hybrid Cairns–Tsallis distributed electrons. It is also found that the effect of polarization force is more pronounced for heavier dust grain with high charge number. Finally, there is a lower limit found for the q-nonextensive parameter, below which modifications in soliton profile cease to exist due to the presence of hybrid Cairns–Tsallis distributed electrons.

中文翻译：

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具有混合 Cairns-Tsallis 分布电子的相反极性尘埃等离子体中的极化力

分析了作用于磁化等离子体中带相反电荷的尘埃颗粒的极化力的影响，以使用麦克斯韦离子和非麦克斯韦电子遵循混合凯恩斯-塔利斯速度分布倾斜传播低频静电波。结果表明，在混合凯恩斯-Tsallis 分布电子存在的情况下，作用在带正电尘埃颗粒上的极化力与作用在带负电尘埃颗粒上的极化力不同。通过微扰分析推导出Zakharov-Kuznetsov方程形式的非线性方程，用于描述弱幅度极限下的静电孤立结构。参数研究确定了由于极化力和混合凯恩斯-Tsallis 分布电子的存在而引起的尘埃声孤子传播的修改。还发现，对于电荷数高的较重的尘埃颗粒，极化力的影响更为明显。最后，找到了一个下限q - 非扩展参数，低于该参数时，由于混合凯恩斯-Tsallis 分布电子的存在，孤子分布的修改不再存在。