The fast and slow waves in multi-ion species collisionless plasmas have been widely studied, but the collision effect on ion acoustic waves is a difficult problem. In this paper, plasmas with azimuthal symmetry velocity distribution in different collisional regimes are studied by eigenvalue solution of the linearized Fokker–Planck equation. The frequency, damping rate and distribution function from the solutions are consistent with the analytical result in collisionless limit. For the fast wave, the damping rate agrees well with the prediction of both fluid theory in collision limit and kinetic theory in collisionless limit. But for the slow wave, the frequency and damping rate predicted by fluid theory are not accurate. In two-ion species plasmas, the light and heavy ion density perturbation phases of two-ion species are the same for the fast wave, but opposite for the slow wave. Polytropic index of C₅H₁₂ plasmas is also calculated, which is simply affected by mean-free paths of ions for the fast wave, but affected by multiple factors, such as mean-free paths, heat transfer and the opposite phases for the slow wave.

人们已经广泛研究了多离子物种无碰撞等离子体中的快波和慢波，但是碰撞对离子声波的影响是一个难题。本文通过线性化的Fokker-Planck方程的特征值解研究了在不同碰撞状态下具有方位对称速度分布的等离子体。解的频率，阻尼率和分布函数与无碰撞极限的分析结果一致。对于快波，其阻尼率与碰撞极限下的流体理论和无碰撞极限下的动力学理论的预测吻合得很好。但是对于慢波，流体理论预测的频率和阻尼率是不准确的。在两离子物种的血浆中，两种离子的轻离子和重离子密度扰动相位对于快波是相同的，而对于慢波则相反。C的多变指数还计算了₅ H ₁₂等离子体，它仅受快波离子的平均自由程的影响，但受多种因素影响，例如，无均值路径，传热和慢波的反相。