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

doi:10.1088/1674-1056/ac67c4

中国物理B ›› 2022, Vol. 31 ›› Issue (8): 86401-086401.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

收稿日期:2022-03-26 接受日期:2022-04-18 出版日期:2022-07-18 发布日期:2022-07-23
通讯作者: Fang-Fu Ye E-mail:fye@iphy.ac.cn
基金资助:
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).

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

Received:2022-03-26 Accepted:2022-04-18 Online:2022-07-18 Published:2022-07-23
Contact: Fang-Fu Ye E-mail:fye@iphy.ac.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: self-propelled particle, optimal noise, cellular automaton

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.

Key words: self-propelled particle, optimal noise, cellular automaton

中图分类号: (Order-disorder transformations)

64.60.Cn

64.60.De (Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)) 64.60.aq (Networks)

Guang-Le Du(杜光乐) and Fang-Fu Ye(叶方富). Nonvanishing optimal noise in cellular automaton model of self-propelled particles[J]. 中国物理B, 2022, 31(8): 86401-086401.

Guang-Le Du(杜光乐) and Fang-Fu Ye(叶方富). Nonvanishing optimal noise in cellular automaton model of self-propelled particles[J]. Chin. Phys. B, 2022, 31(8): 86401-086401.

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

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

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