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Chin. Phys. B, 2022, Vol. 31(8): 086401    DOI: 10.1088/1674-1056/ac67c4

Nonvanishing optimal noise in cellular automaton model of self-propelled particles

Guang-Le Du(杜光乐)1 and Fang-Fu Ye(叶方富)1,2,†
1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
Abstract  A minimal cellular automaton model is introduced to describe the collective motion of self-propelled particles on two-dimensional square lattice. The model features discretization of directional and positional spaces and single-particle occupation on one lattice site. Contrary to the Vicsek model and its variants, our model exhibits the nonvanishing optimal noise. When the particle density increases, the collective motion is promoted with optimal noise strength and reduced with noise strength out of optimal region. In addition, when the square lattice undergoes edge percolation process, no abrupt change of alignment behaviors is observed at the critical point of percolation.
Keywords:  self-propelled particle      optimal noise      cellular automaton  
Received:  26 March 2022      Accepted manuscript online:  18 April 2022
PACS:  64.60.Cn (Order-disorder transformations)  
  64.60.De (Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)) (Networks)  
Fund: Project supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB33000000) and the National Natural Science Foundation of China (Grant No. 12090054).
Corresponding Authors:  Fang-Fu Ye     E-mail:

Cite this article: 

Guang-Le Du(杜光乐) and Fang-Fu Ye(叶方富) Nonvanishing optimal noise in cellular automaton model of self-propelled particles 2022 Chin. Phys. B 31 086401

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