Swarm Oscillators : Normal Form of Motile Particles with Internal Dynamics(The 50th Anniversary of the Alder Transition -Recent Progress on Computational Statistical Physics-)

概要

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Nonlinear coupling between inter- and intra-particle dynamics appears as a collective behaviour of particles. In this study, the particles are regarded as simplified local units that capture the essence of the behavior of the actual local units existing in a wide variety of physical systems. In order to study this class of systems in a unified manner, ignoring system-specific details, we proposed a broad class of models from which we derived a simple model by means of centre-manifold and phase reduction methods. In this paper, we demonstrate a rich variety of collective mesoscopic patterns exhibited by the derived model. We report that an effective excluded volume (or zone) appears even though the particles are point objects.
2009-04-24