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Swarms of Particle Agents with Harmonic Interactions

: Ebeling, W.; Schweitzer, F.


Theory in Biosciences 120 (2001), No.3-4, pp.205-222
ISSN: 1431-7613
Journal Article
Fraunhofer AIS ( IAIS) ()
active motion; collective behavior; Brownian particles; energy supply; swarming

Agent-based modeling is a powerful methodology to describe the occurence of complex behavior in biological systems. The interaction of a large number of individuals (agents) may for example lead to the emergence of new forms of collective motion. In this paper, we investigate a particle-based approach to the coherent motion of a swarm with parabolic (i.e. harmonic) interactions between the agents. It is based on generalized Langevin equations for the particle agents, which take into account (i) energetic conditions for active motion, (ii) linear attractive forces between each two agents. The complex collective motion observed can be explained as the result of these different influences: the active motion of the agents, which is driven by the energy-take up, would eventually lead to a spatial dispersion of the swarm, while the mutual interaction of the agents results in a tendency of spatial concentration. In addition to particle-based computer simulations, we also provide a mathematical framework for investigating the collective dynamics.