Nonlinear stability of vortex formation in swarms of interacting particles

Mabrouk, M. and McInnes, C. (2008) Nonlinear stability of vortex formation in swarms of interacting particles. Physical Review E, 78(1), 012903. (doi:10.1103/PhysRevE.78.012903)

Mabrouk, M. and McInnes, C. (2008) Nonlinear stability of vortex formation in swarms of interacting particles. Physical Review E, 78(1), 012903. (doi:10.1103/PhysRevE.78.012903)

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Publisher's URL: http://dx.doi.org/10.1103/PhysRevE.78.012903

Abstract

We use a particle-based model of a swarm of interacting particles to explore analytically the conditions for the formation of vortexlike behavior. Our model uses pairwise interaction potentials to model weak long-range attraction and strong short-range repulsion with a dissipation function to align particle velocity vectors. We use the effective energy of the swarm as a Lyapunov function to prove convergence to a vortexlike state. Our analysis extends previous work which has relied purely on simulation to explore the formation and stability of vortexlike behavior through analytical rather than numerical methods.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McInnes, Professor Colin
Authors: Mabrouk, M., and McInnes, C.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Physical Review E
Publisher:American Physical Society
ISSN:1539-3755
ISSN (Online):1550-2376

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