Nonequilibrium statistical mechanics of swarms of driven particles
arXiv:cond-mat/0307295 · doi:10.1002/cplx.10090
Abstract
As a rough model for the collective motions of cells and organisms we develop here the statistical mechanics of swarms of self-propelled particles. Our approach is closely related to the recently developed theory of active Brownian motion and the theory of canonical-dissipative systems. Free motion and motion of a swarms confined in an external field is studied. Briefly the case of particles confined on a ring and interacting by repulsive forces is studied. In more detail we investigate self-confinement by Morse-type attracting forces. We begin with pairs N = 2; the attractors and distribution functions are discussed, then the case N > 2 is discussed. Simulations for several dynamical modes of swarms of active Brownian particles interacting by Morse forces are presented. In particular we study rotations, drift, fluctuations of shape and cluster formation.
arXiv comment11 pages, 2 figures
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Cited by in corpus (7)
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- Rheology of Active-Particle Suspensions
- State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System
- A model for rolling swarms of locusts
- Stability and Dynamics of Crystals and Glasses of Motorized Particles
- Emergence of collective motion in a model of interacting Brownian particles
- Synchronization and collective motion of globally coupled Brownian particles