Noise-induced transition from translational to rotational motion of swarms

被引:125
作者
Erdmann, U
Ebeling, W
Mikhailov, AS
机构
[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[2] Fritz Haber Inst, Max Planck Gesell, Chem Phys Abt, D-14195 Berlin, Germany
来源
PHYSICAL REVIEW E | 2005年 / 71卷 / 05期
关键词
D O I
10.1103/PhysRevE.71.051904
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We consider a model of active Brownian agents interacting via a harmonic attractive potential in a two-dimensional system in the presence of noise. By numerical simulations, we show that this model possesses a noise-induced transition characterized by the breakdown of translational motion and the onset of swarm rotation as the noise intensity is increased. Statistical properties of swarm dynamics in the weak noise limit are further analytically investigated.
引用
收藏
页数:7
相关论文
共 42 条
[1]   Self-organized collective displacements of self-driven individuals [J].
Albano, EV .
PHYSICAL REVIEW LETTERS, 1996, 77 (10) :2129-2132
[2]   Cooperative self-organization of microorganisms [J].
Ben-Jacob, E ;
Cohen, I ;
Levine, H .
ADVANCES IN PHYSICS, 2000, 49 (04) :395-554
[3]   Chemomodulation of cellular movement, collective formation of vortices by swarming bacteria, and colonial development [J].
BenJacob, E ;
Cohen, I ;
Czirok, A ;
Vicsek, T ;
Gutnick, DL .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 238 (1-4) :181-197
[4]   Phase-ordering kinetics of cemetery organization in ants [J].
Bonabeau, E ;
Theraulaz, G ;
Fourcassie, V ;
Deneubourg, JL .
PHYSICAL REVIEW E, 1998, 57 (04) :4568-4571
[5]   Physical mechanisms for chemotactic pattern formation by bacteria [J].
Brenner, MP ;
Levitov, LS ;
Budrene, EO .
BIOPHYSICAL JOURNAL, 1998, 74 (04) :1677-1693
[6]   DYNAMICS OF FORMATION OF SYMMETRICAL PATTERNS BY CHEMOTACTIC BACTERIA [J].
BUDRENE, EO ;
BERG, HC .
NATURE, 1995, 376 (6535) :49-53
[7]   Hydrodynamics of bacterial motion [J].
Csahok, Z ;
Czirok, A .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 243 (3-4) :304-318
[8]   Theory of periodic swarming of bacteria:: Application to Proteus mirabilis -: art. no. 031915 [J].
Czirók, A ;
Matsushita, M ;
Vicsek, T .
PHYSICAL REVIEW E, 2001, 63 (03)
[9]   Collective behavior of interacting self-propelled particles [J].
Czirók, A ;
Vicsek, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 281 (1-4) :17-29
[10]   Collective motion of self-propelled particles:: Kinetic phase transition in one dimension [J].
Czirók, A ;
Barabási, AL ;
Vicsek, T .
PHYSICAL REVIEW LETTERS, 1999, 82 (01) :209-212