In this paper, we investigate the characteristics of collective motion of Stokesian swimmers with impulsive acceleration (SSIA). We consider two types of intensity function, namely, the displacement-based intensity function and elapsed-time-based intensity function. The stationary velocity distribution function (VDF) of the SSIA obtained by the direct simulation Monte Carlo method is compared with the analytical approximation, which is obtained by the kinetic (mean-field) equation of the SSIA. Finally, the collective motion of the SSIA confined by 2D box is analyzed by considering Vicsek-like effects to consider the effects of binary collision on the VDF of the SSIA.

中文翻译：

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冲刺游泳者的集体动力学

在本文中，我们研究了冲刺运动员（SSIA）的Stokesian游泳者集体运动的特征。我们考虑两种类型的强度函数，即基于位移的强度函数和基于经过时间的强度函数。通过直接模拟蒙特卡洛方法获得的SSIA的平稳速度分布函数（VDF）与通过SSIA的动力学（平均场）方程获得的解析近似值进行比较。最后，通过考虑类Vicsek效应并考虑二元碰撞对SSIA的VDF的影响，分析了由2D框约束的SSIA的集体运动。