Collective dynamics of self-propelled particles with variable speed

被引:60
|
作者
Mishra, Shradha [1 ]
Tunstrom, Kolbjorn [1 ]
Couzin, Iain D. [1 ]
Huepe, Cristian
机构
[1] Princeton Univ, Dept Ecol & Evolutionary Biol, Princeton, NJ 08544 USA
来源
PHYSICAL REVIEW E | 2012年 / 86卷 / 01期
基金
美国国家科学基金会;
关键词
GIANT NUMBER FLUCTUATIONS; PATTERNS; SYSTEMS; SCHOOLS; SWARM; MODEL;
D O I
10.1103/PhysRevE.86.011901
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
Understanding the organization of collective motion in biological systems is an ongoing challenge. In this paper we consider a minimal model of self-propelled particles with variable speed. Inspired by experimental data from schooling fish, we introduce a power-law dependency of the speed of each particle on the degree of polarization order in its neighborhood. We derive analytically a coarse-grained continuous approximation for this model and find that, while the specific variable speed rule used does not change the details of the ordering transition leading to collective motion, it induces an inverse power-law correlation between the speed or the local polarization order and the local density. Using numerical simulations, we verify the range of validity of this continuous description and explore regimes beyond it. We discover, in disordered states close to the transition, a phase-segregated regime where most particles cluster into almost static groups surrounded by isolated high-speed particles. We argue that the mechanism responsible for this regime could be present in a wide range of collective motion dynamics.
引用
收藏
页数:11
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