Volume 93, Number 6, March 2011
|Number of page(s)||4|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||18 March 2011|
Optimal view angle in the three-dimensional self-propelled particle model
Department of Modern Physics, University of Science and Technology of China - Hefei, 230026, China
2 Department of Physics, University of Science and Technology of China - Hefei, 230026, China
3 China Satellite Maritime Tracking and Control Department - Jiangyin, 214400, China
4 The Research Center for Complex System Science, University of Shanghai for Science and Technology and Shanghai Academy of System Science - Shanghai, 200093, China
Accepted: 21 February 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.
PACS: 87.10.-e – General theory and mathematical aspects / 05.65.+b – Self-organized systems / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2011
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