Collective motion of self-propelled particles interacting without cohesion

Abstract

We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and shown to be discontinuous (first-order like). The properties of the ordered, collectively moving phase are investigated. In a large domain of parameter space including the transition region, well-defined high-density and high-order propagating solitary structures are shown to dominate the dynamics. Far enough from the transition region, on the other hand, these objects are not present. A statistically-homogeneous ordered phase is then observed, which is characterized by anomalously-strong density fluctuations, superdiffusion, and strong intermittency.

Submitted to Physical Review E

References in corpus (5)

• Novel type of phase transition in a system of self-driven particles
• Phase transition in the collective migration of tissue cells: experiment and model
• Spontaneously ordered motion of self-propelled particles
• New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion
• Comment on ``Phase Transitions in Systems of Self-Propelled Agents and Related Network Models''

Cited by in corpus (8)

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• Optimal View Angle in Collective Dynamics of Self-propelled Agents
• Turning with the others: novel transitions in an SPP model with coupling of accelerations
• Consensus of self-driven agents with avoidance of collisions
• Phase transitions induced by complex nonlinear noise in a system of self-propelled agents
• The Convergence of Bird Flocking
• Numerical simulations of a non-conservative hyperbolic system with geometric constraints describing swarming behavior