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)
Full text not currently available from Enlighten.
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 |
University Staff: Request a correction | Enlighten Editors: Update this record