Diffusion, subdiffusion, and trapping of active particles in heterogeneous media

Abstract

We study the transport properties of a system of active particles moving at constant speed in an heterogeneous two-dimensional space. The spatial heterogeneity is modeled by a random distribution of obstacles, which the active particles avoid. Obstacle avoidance is characterized by the particle turning speed $\gamma$. We show, through simulations and analytical calculations, that the mean square displacement of particles exhibits two regimes as function of the density of obstacles ${\rho }_o$ and $\gamma$. We find that at low values of $\gamma$, particle motion is diffusive and characterized by a diffusion coefficient that displays a minimum at an intermediate obstacle density ${\rho }_o$. We observe that in high obstacle density regions and for large $\gamma$ values, spontaneous trapping of active particles occurs. We show that such trapping leads to genuine subdiffusive motion of the active particles. We indicate how these findings can be used to fabricate a filter of active particles.

to appear in Phys. Rev. Lett

References in corpus (10)

• Self-motile colloidal particles: from directed propulsion to random walk
• Propulsion of a molecular machine by asymmetric distribution of reaction--products
• Swarming and swirling in self-propelled polar granular rods
• Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria
• Sedimentation, trapping, and rectification of dilute bacteria
• Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers
• Self-propelled particles with fluctuating speed and direction of motion
• Optimal noise maximizes collective motion in heterogeneous media
• Long-range Ordering of Vibrated Polar Disks
• Capturing self-propelled particles in a moving microwedge

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