Collective dynamics of active Brownian particles in three spatial dimensions: A predictive field theory

2020/06/01 by Jens Bickmann, Raphael Wittkowski · 34 citations
Engineering · Physics and Astronomy · #Brownian motion #Characterization and Applications of Magnetic Nanoparticles #Dynamics (music) #Field (mathematics) #Mean field theory #Micro and Nano Robotics #SPHERES #Work (physics) #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · open access · doi:10.1103/physrevresearch.2.033241

published in Physical Review Research 2(3) (American Physical Society) · 16 pages, 3 figures, 3 tables

arxiv created 2020/06/01 · openalex created_date 2020/06/12 · openalex publication_date 2020/08/11 · arxiv updated 2020/08/19 · openalex updated_date 2026/08/05

Abstract

This work presents a predictive field theory and simpler reduced models for the dynamics of interacting active Brownian spheres in three spatial dimensions. The authors apply it to relate coefficients of models from the literature to microscopic parameters and to derive analytic expressions for the particles' density-dependent mean swimming speed.

Citations

• Physics of microswimmers—single particle motion and collective behavior: a review
• Pressure and Phase Equilibria in Interacting Active Brownian Spheres
• Athermal Phase Separation of Self-Propelled Particles with No Alignment
• Active Brownian particles
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Effective run-and-tumble dynamics of bacteria baths
• Microscopic theory for the phase separation of self-propelled repulsive disks
• The Physics of Liquid Crystals
• Scalar φ4 field theory for active-particle phase separation
• Continuum Theory of Phase Separation Kinetics for Active Brownian Particles
• Classical Nucleation Theory Description of Active Colloid Assembly