Collective Dynamics of Deformable Self-Propelled Particles with Repulsive Interaction

2011/01/18 by Yu Itino, Takahiro Ohkuma, Takao Ohta · 24 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Bifurcation #Classical mechanics #Condensed matter physics #Diffusion and Search Dynamics #Dynamics (music) #Geometry #Mathematics #Mean field theory #Mechanics #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Nonlinear system #Particle (ecology) #Physics #Quantum mechanics #Saddle #Saddle point #Statistical physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1143/jpsj.80.033001

published in Journal of the Physical Society of Japan 80(3), 033001 (Physical Society of Japan) · 4 pages, 6 figures

arxiv created 2011/01/18 · openalex publication_date 2011/02/25 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate dynamics of deformable self-propelled particles with a repulsive interaction whose magnitude depends on the relative direction of elongation of a pair of particles. A collective motion of the particles appears in two dimensions. However this ordered state becomes unstable when the particle density exceeds a certain critical threshold and the dynamics becomes disorder. We show by a mean field analysis that this novel transition characteristic to deformability occurs due to a saddle-node bifurcation.

Citations

• Noise-induced transition from translational to rotational motion of swarms
• Persistent Cell Motion in the Absence of External Signals: A Search Strategy for Eukaryotic Cells
• Dynamical Heterogeneity Close to the Jamming Transition in a Sheared Granular Material
• Self-Propelled Particles with Fluctuating Speed and Direction of Motion in Two Dimensions

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