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

PHYSICA D-NONLINEAR PHENOMENA

卷:232

Article

Chuang, Yao-Li ; D'Orsogna, Maria R. ; Marthaler, Daniel ; Bertozzi, Andrea L. ; Chayes, Lincoln S.

关键词: swarming;    flocking;    self-propelling particles;    self-organization;   

DOI  :  10.1016/j.physd.2007.05.007

来源: Elsevier

【 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.

【 授权许可】

Free