Optimal view angle in the three-dimensional self-propelled particle model
Yujian Li, Su Wang, Zhonglin Han, Bao-Mei Tian, Zhen-Dong Xi, Bing-Hong Wang · Europhysics Letters (EPL) · 2011
The three-dimensional Vicsek model is introduced to investigate the collective motion of self-propelled particles.In this model each particle has a limited view angle.We find that there exists an optimal value of view angle, leading to the quickest direction consensus.Our work shows that the optimal view angle is just a function of the absolute velocity and the particles density in the limit of large boundary size.We present a series of special results demonstrating more fundamental and practical rules in the daily-life pragmatic collective phenomena, which is of significance to the low-cost communication.