Picture map of Europe with pins indicating European capital cities

Open Access research with a European policy impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the European Policies Research Centre (EPRC).

EPRC is a leading institute in Europe for comparative research on public policy, with a particular focus on regional development policies. Spanning 30 European countries, EPRC research programmes have a strong emphasis on applied research and knowledge exchange, including the provision of policy advice to EU institutions and national and sub-national government authorities throughout Europe.

Explore research outputs by the European Policies Research Centre...

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

McInnes, C.R. and Abdel Wahid, Mohamed Hussien Mabrouk (2008) Non-linear stability of vortex formation in swarms of interacting particles. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 78 (012903). ISSN 1063-651X

[img]
Preview
PDF (strathprints006979.pdf)
strathprints006979.pdf - Accepted Author Manuscript

Download (226kB) | Preview

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.