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Chin. Phys. B, 2021, Vol. 30(10): 100510    DOI: 10.1088/1674-1056/abfccf
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Collective motion of polar active particles on a sphere

Yi Chen(陈奕)1,2, Jun Huang(黄竣)1,2, Fan-Hua Meng(孟繁华)1,2, Teng-Chao Li(李腾超)1,2,†, and Bao-Quan Ai(艾保全)1,2,‡
1 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China;
2 Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University, Guangzhou 510006, China
Abstract  Collective motion of active particles with polar alignment is investigated on a sphere. We discussed the factors that affect particle swarm motion and define an order parameter that can show the degree of particle swarm motion. In the model, we added a polar alignment strength, along with Gaussian curvature, affecting particles swarm motion. We find that when the force exceeds a certain limit, the order parameter will decrease with the increase of the force. Combined with our definition of order parameter and observation of the model, the reason is that particles begin to move side by side under the influence of polar forces. In addition, the effects of velocity, rotational diffusion coefficient, and packing fraction on particle swarm motion are discussed. It is found that the rotational diffusion coefficient and the packing fraction have a great influence on the clustering motion of particles, while the velocity has little influence on the clustering motion of particles.
Keywords:  clustering motion of Brownian particles      polar active particles      sphere  
Received:  04 February 2021      Revised:  21 April 2021      Accepted manuscript online:  29 April 2021
PACS:  05.10.Gg (Stochastic analysis methods)  
  05.40.Jc (Brownian motion)  
  05.20.-y (Classical statistical mechanics)  
  05.60.-k (Transport processes)  
Fund: Project supported in part by the National Natural Science Foundation of China (Grant Nos. 12075090 and 12005066), the Science and Technology Program of Guangzhou (Grant No. 2019050001), the Natural Science Foundation of Guangdong Province, China (Grant No. 2017A030313029), and the Major Basic Research Project of Guangdong Province, China (Grant No. 2017KZDXM024).
Corresponding Authors:  Teng-Chao Li, Bao-Quan Ai     E-mail:;

Cite this article: 

Yi Chen(陈奕), Jun Huang(黄竣), Fan-Hua Meng(孟繁华), Teng-Chao Li(李腾超), and Bao-Quan Ai(艾保全) Collective motion of polar active particles on a sphere 2021 Chin. Phys. B 30 100510

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