Cluster dynamics and cluster size distributions in systems of self-propelled particles

Abstract

Systems of self-propelled particles (SPP) interacting by a velocity alignment mechanism in the presence of noise exhibit a rich clustering dynamics. It can be argued that clusters are responsible for the distribution of (local) information in these systems. Here, we investigate the statistical properties of single clusters in SPP systems, like the asymmetric spreading of clusters with respect to their moving direction. In addition, we formulate a Smoluchowski-type kinetic model to describe the evolution of the cluster size distribution (CSD). This model predicts the emergence of steady-state CSDs in SPP systems. We test our theoretical predictions in simulations of SPP with nematic interactions and find that our simple kinetic model reproduces qualitatively the transition to aggregation observed in simulations.

References in corpus (12)

• Novel type of phase transition in a system of self-driven particles
• Collective motion of self-propelled particles interacting without cohesion
• Non-equilibrium clustering of self-propelled rods
• Swarming and swirling in self-propelled polar granular rods
• Collective Motion due to escape and pursuit response
• Enhanced diffusion and ordering of self-propelled rods
• Hydrodynamics of self-propelled hard rods
• Cooperation of Sperm in Two Dimensions: Synchronization, Attraction and Aggregation through Hydrodynamic Interactions
• Self-propelled particles with fluctuating speed and direction of motion
• A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
• Collective decision making in cohesive flocks
• Phase transitions induced by complex nonlinear noise in a system of self-propelled agents

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