We investigate the parallel streaming effects on the dispersion characteristics of a kinetic Alfvén wave (KAW) in a low β dusty magnetoplasma. To analyse the influence of streaming ions obeying generalized (r, q) distribution function, hot and magnetized electrons, and mobile charged dust, a theoretical approach has been used for the instability analysis by employing two potential theories. A linear kinetic dispersion relation of Alfvén waves is derived, whose solutions are used to interpret the numerical and analytical results. The solutions of dispersion relation indicate that the characteristics of KAWs are transformed when generalized (r, q) distribution function is employed instead of its Maxwellian counterpart. We also found that the unstable modes have a strong dependence on spectral indices r and q, dust parameters, and plasma β. For the excitation of KAWs, the streaming velocity has been observed to be within the sub‐Alfvén range, whereas when it extends to the super‐Alfvén range, the growth rates are significantly suppressed. The observations further show that an ambient magnetic field and superthermal particles inhibit the growth of an electromagnetic wave to a significant degree and have a stabilizing effect on the wave mode, whereas an increasing concentration of low‐energy particles contributes to enhancing growth rates.

中文翻译：

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通过在具有广义（r，q）分布函数的尘土磁等离子体中流动离子来激发动力学Alfvén波

我们研究了平行流对低β尘埃磁浆中的动力学Alfvén波（KAW）的弥散特性的影响。为了分析流离子遵循广义（r，q）分布函数，热电子和磁化电子以及移动带电粉尘的影响，采用了两种潜在的理论将理论方法用于不稳定性分析。推导了Alfvén波的线性动力学色散关系，其解用于解释数值和分析结果。色散关系的解表明，当推广（r，q）时，KAW的特性发生了变化。分布函数代替了Maxwellian对应函数。我们还发现，不稳定模式对光谱指数r和q，尘埃参数和等离子体β有很强的依赖性。对于KAW的激发，已观察到流速度在亚Alfvén范围内，而当其扩展到super-Alfvén范围时，增长率被显着抑制。观察结果进一步表明，环境磁场和过热颗粒在很大程度上抑制了电磁波的生长，并对波模式具有稳定作用，而低能量颗粒浓度的增加有助于提高生长速率。