A PDE Model for Janus Particle Swarming

2025/04/22 by Griffin Smith, Smith, Griffin, Nathan Stouffer +5 · 1 voice
Engineering · Physics and Astronomy · #Evacuation and Crowd Dynamics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.PS

paper · pdf · doi:10.48550/arxiv.2504.16243

openalex publication_date 2025/04/22 · arxiv published 2025/04/22 · arxiv updated 2025/04/22 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

It has been experimentally shown that Brownian motion and active forward drift controlled by quorum sensing is sufficient to produce clustering behavior in orientable Janus particles. This paper explores the group formation and cohesion of Janus particles using both an agent-based computer model and a nonlocal advection-diffusion partial differential equation (PDE) model. Our PDE model can recreate the behavior from both physical experimentation and computer simulations. Additionally, the PDE model highlights an annular structure which was not apparent in prior work.

Citations

• Modeling stripe formation on growing zebrafish tailfins
• Ring states in swarmalator systems
• Oscillators that sync and swarm
• Collective dynamics of soft active particles
• Anisotropic interactions in a first-order aggregation model: a proof of concept
• A minimal model of predator-swarm interactions
• Locust Dynamics: Behavioral Phase Change and Swarming
• A new model for self-organized dynamics and its flocking behavior
• CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
• A model for rolling swarms of locusts
• Self-Organizing Pedestrian Movement
• Novel type of phase transition in a system of self-driven particles

Discussions

• Griffin Smith, Nathan Stouffer, Scott G. McCalla, Dominique P. Zosso: A PDE Model for Janus Particle Swarming https://arxiv.org/abs/2504.16243 https://arxiv.org/pdf/2504.16243 https://arxiv.org/html/2 [bsky, 0 points, 1 comments]

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