State transitions and the continuum limit for a 2D interacting, self-propelled particle system

被引:205
作者
Chuang, Yao-Li [1 ]
D'Orsogna, Maria R.
Marthaler, Daniel
Bertozzi, Andrea L.
Chayes, Lincoln S.
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
[2] Duke Univ, Dept Phys, Durham, NC 27706 USA
[3] Northrop Grumman Corp, ACS UMS, Rancho Bernardo, CA USA
基金
美国国家科学基金会;
关键词
swarming; flocking; self-propelling particles; self-organization;
D O I
10.1016/j.physd.2007.05.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a class of swarming problems wherein particles evolve dynamically via pairwise interaction potentials and a velocity selection mechanism. We find that the swarming system undergoes various changes of state as a function of the self-propulsion and interaction potential parameters. In this paper, we utilize a procedure which connects a class of individual -based models to their continuum formulations and determine criteria for the validity of the latter. H-stability of the interaction potential plays a fundamental role in determining both the validity of the continuum approximation and the nature of the aggregation state transitions. We perform a linear stability analysis of the continuum model and compare the results to the simulations of the individual -based one. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:33 / 47
页数:15
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