The effect of suprathermal polarization force on both linear and weakly nonlinear dust‐acoustic solitary structures in a three‐component dusty plasma is investigated. For this purpose, a new expression of the polarization force acting on dust particles that include the electronic suprathermal effect is derived. The results are applied to two different experimental dusty plasmas. We have found that the polarization force acting on the dust grains decreases as the electron suprathermality becomes more significant. In addition, we have shown that, for a given value of the spectral index κ, the polarization force magnitude fluctuates from one plasma to another. The changes arising in the propagation of small‐amplitude dust‐acoustic (DA) solitons due to the presence of this suprathermal polarization force are also analysed. Interestingly, an increase in the magnitude of the polarization force leads to an increase in the amplitude and width of DA soliton and provides more energy to the motion of this soliton.

中文翻译：

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具有超热极化力的尘埃等离子体中的小振幅尘埃声孤子能

研究了三组分粉尘等离子体中超热极化力对线性和弱非线性粉尘声孤立结构的影响。为此，推导了包括电子超热效应在内的作用在灰尘颗粒上的极化力的新表达式。该结果适用于两种不同的实验性粉尘等离子体。我们已经发现，随着电子超热变得越来越重要，作用在尘埃颗粒上的极化力会降低。此外，我们已经表明，对于给定的光谱指数κ值，极化力的大小从一个等离子体到另一个等离子体波动。还分析了由于这种超热极化力的存在而引起的小振幅粉尘声波（DA）孤子传播的变化。有趣的是，极化力大小的增加导致DA孤子的幅度和宽度增加，并为该孤子的运动提供更多能量。