Using kinetic theory approach, the dispersion relation ω_r and Landau damping rate γ for dust ion acoustic waves are investigated numerically and analytically in an unmagnetized collisionless dusty plasma considering Cairns distribution for electrons and ions in stationary dust particles background. The phase velocity and Landau damping rate are calculated in the limits v_td∥ < v_ti∥ << ω/k << v_te∥. The electrons and ions non‐thermality effects are incorporated via the non‐thermality parameter (0 ≤ α < 1). The real frequency ω_r and Landau damping rate γ of the mode in Cairns bi‐Maxwellian distributed plasma are graphically shown to depend on plasma parameters namely non‐thermality index α, ion to electron temperature ratio T_i∥/T_e∥ and the dust concentration parameter δ (=1 − ηZ_d).

中文翻译：

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非热凯恩斯双麦克斯韦等离子体中的尘埃离子声波

利用动力学理论的方法中，色散关系ω _{- [R}和朗道阻尼率γ为尘埃离子声波在非磁化无碰撞的尘埃等离子体考虑在固定的灰尘颗粒背景电子和离子分布凯恩斯数值和分析研究。相速度和朗道阻尼率在极限计算v _td∥  <  v _ti∥  <<  ω / ķ  <<  v _te∥。非thermality作用是由非thermality参数掺入的电子和离子（0≤  α  <1） 。真正的频率ω _[R和朗道阻尼率γ在Cairns双麦克斯韦分布等离子体模式的以图形方式示出依赖于等离子体参数即非thermality指数α，离子与电子温度比Ť _i∥ / Ť _e∥和粉尘浓度参数δ  （= 1 -  ηZ _d）。