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Flowrate behavior and clustering of self-driven robots in a channel |
Bo Tian(田波)1,2, Wang-Ping Sun(孙王平)1, Ming Li(李明)1, Rui Jiang(姜锐)3, Mao-Bin Hu(胡茂彬)1 |
1 School of Engineering Science, University of Science and Technology of China, Hefei 230026, China; 2 School of Engineering, Anhui Agricultural University, Hefei 230036, China; 3 MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China |
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Abstract In this paper, the collective motion of self-driven robots is studied experimentally and theoretically. In the channel, the flowrate of robots increases with the density linearly, even if the density of the robots tends to 1.0. There is no abrupt drop in the flowrate, similar to the collective motion of ants. We find that the robots will adjust their velocities by a serial of tiny collisions. The speed-adjustment will affect both robots involved in the collision, and will help to maintain a nearly uniform velocity for the robots. As a result, the flowrate drop will disappear. In the motion, the robots neither gather together nor scatter completely. Instead, they form some clusters to move together. These clusters are not stable during the moving process, but their sizes follow a power-law-alike distribution. We propose a theoretical model to simulate this collective motion process, which can reproduce these behaviors well. Analytic results about the flowrate behavior are also consistent with experiments.
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Received: 11 October 2017
Revised: 12 December 2017
Accepted manuscript online:
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PACS:
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89.75.Fb
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(Structures and organization in complex systems)
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45.70.Vn
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(Granular models of complex systems; traffic flow)
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87.23.Cc
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(Population dynamics and ecological pattern formation)
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Fund: Project supported by the Key Research and Development Program, China (Grant No. 2016YFC0802508) and the National Natural Science Foundation of China (Grant Nos. 11672289 and 11422221). |
Corresponding Authors:
Ming Li, Mao-Bin Hu
E-mail: minglichn@ustc.edu.cn;humaobin@ustc.edu.cn
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Cite this article:
Bo Tian(田波), Wang-Ping Sun(孙王平), Ming Li(李明), Rui Jiang(姜锐), Mao-Bin Hu(胡茂彬) Flowrate behavior and clustering of self-driven robots in a channel 2018 Chin. Phys. B 27 038902
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