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

被引:3
作者
Du, Guang-Le [1 ]
Ye, Fang-Fu [1 ,2 ]
机构
[1] Chinese Acad Sci, Beijing Natl Lab Condensed Matter Phys, Inst Phys, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
基金
中国国家自然科学基金;
关键词
self-propelled particle; optimal noise; cellular automaton; PHASE-TRANSITION; FLUCTUATIONS;
D O I
10.1088/1674-1056/ac67c4
中图分类号
O4 [物理学];
学科分类号
0702 ;
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.
引用
收藏
页数:5
相关论文
共 27 条
[1]   Collective decision making in cohesive flocks [J].
Bhattacharya, K. ;
Vicsek, Tamas .
NEW JOURNAL OF PHYSICS, 2010, 12
[2]   The structure and dynamics of multilayer networks [J].
Boccaletti, S. ;
Bianconi, G. ;
Criado, R. ;
del Genio, C. I. ;
Gomez-Gardenes, J. ;
Romance, M. ;
Sendina-Nadal, I. ;
Wang, Z. ;
Zanin, M. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2014, 544 (01) :1-122
[3]   Contrarian compulsions produce exotic time-dependent flocking of active particles [J].
Bonilla, L. L. ;
Trenado, C. .
PHYSICAL REVIEW E, 2019, 99 (01)
[4]   Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion [J].
Bussemaker, HJ ;
Deutsch, A ;
Geigant, E .
PHYSICAL REVIEW LETTERS, 1997, 78 (26) :5018-5021
[5]   Jamming, force chains, and fragile matter [J].
Cates, ME ;
Wittmer, JP ;
Bouchaud, JP ;
Claudin, P .
PHYSICAL REVIEW LETTERS, 1998, 81 (09) :1841-1844
[6]   Scale-free correlations in starling flocks [J].
Cavagna, Andrea ;
Cimarelli, Alessio ;
Giardina, Irene ;
Parisi, Giorgio ;
Santagati, Raffaele ;
Stefanini, Fabio ;
Viale, Massimiliano .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2010, 107 (26) :11865-11870
[7]   Simple model for active nematics:: Quasi-long-range order and giant fluctuations [J].
Chaté, H ;
Ginelli, F ;
Montagne, R .
PHYSICAL REVIEW LETTERS, 2006, 96 (18)
[8]   Collective motion of self-propelled particles interacting without cohesion [J].
Chate, Hugues ;
Ginelli, Francesco ;
Gregoire, Guillaume ;
Raynaud, Franck .
PHYSICAL REVIEW E, 2008, 77 (04)
[9]   Optimal Noise Maximizes Collective Motion in Heterogeneous Media [J].
Chepizhko, Oleksandr ;
Altmann, Eduardo G. ;
Peruani, Fernando .
PHYSICAL REVIEW LETTERS, 2013, 110 (23)
[10]   TRAFFIC MODELS WITH DISORDER [J].
CSAHOK, Z ;
VICSEK, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (16) :L591-L596