Non-linear stability of vortex formation in swarms of interacting particles

Mabrouk, Mohamed H. and McInnes, Colin R. (2008) Non-linear stability of vortex formation in swarms of interacting particles. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 78 (1). ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.78.012903)

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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.

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• Item metadata

  Item type:	Article
  ID code:	6979
  Dates:	Date Event 29 July 2008 Published
  Subjects:	Technology > Mechanical engineering and machinery Science > Physics
  Department:	Faculty of Engineering > Mechanical and Aerospace Engineering
  Depositing user:	Strathprints Administrator
  Date deposited:	19 Sep 2008
  Last modified:	08 Apr 2024 16:22
  URI:	https://strathprints.strath.ac.uk/id/eprint/6979