Enhanced Diffusion and Ordering of Self-Propelled Rods

2008/06/27 by Aparna Baskaran, M. Cristina Marchetti · 11 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Micro and Nano Robotics #Nonlinear Dynamics and Pattern Formation #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.101.268101

4 pages, 2 figures

arxiv created 2008/06/27 · openalex publication_date 2008/12/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Starting from a minimal physical model of self-propelled hard rods on a substrate in two dimensions, we derive a modified Smoluchowski equation for the system. Self-propulsion enhances longitudinal diffusion and modifies the mean-field excluded volume interaction. From the Smoluchowski equation we obtain hydrodynamic equations for rod concentration, polarization and nematic order parameter. New results at large scales are a lowering of the density of the isotropic-nematic transition and a strong enhancement of boundary effects in confined self-propelled systems.

Citations

• Self-Propelled Particles with Fluctuating Speed and Direction of Motion in Two Dimensions

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• Clustering and phase behaviour of attractive active particles with hydrodynamics
• Large-Scale Patterns in a Minimal Cognitive Flocking Model: Incidental Leaders, Nematic Patterns, and Aggregates
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• Numerical Treatment of the Boltzmann Equation for Self-Propelled Particle Systems
• Flocking from a quantum analogy: spin–orbit coupling in an active fluid

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