Diffusion of active particles in a complex environment: Role of surface scattering

Abstract

Experiments have shown that self-propelled particles can slide along the surface of a circular obstacle without becoming trapped over long times. Using simulations and theory, we study the impact of boundary conditions on the diffusive transport of active particles in an obstacle lattice. We find that particle dynamics with sliding boundary conditions result in large diffusivities even at high obstacle density, unlike classical specular reflection. These dynamics are very well described by a model based on Run-and-Tumble particles with microscopically derived reorientation functions arising from obstacle-induced tumbles. This model, however, fails to describe fine structure in the diffusivity at high obstacle density predicted by simulations. Using a simple deterministic model, we show that this structure results from particles being guided by the lattice. Our results thus show how non-classical surface scattering introduces a dependence on the lattice geometry at high densities. We discuss implications for the study of bacteria in complex environments.

arXiv comment5 pages + 4 supplemental pages, 3 figures + 5 supplemental figures

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• Resetting mediated navigation of active Brownian searcher in a homogeneous topography
• Rebound and scattering of motile Chlamydomonas algae in confined chambers
• Microscopic theory for the diffusion of an active particle in a crowded environment
• Random motion of a circle microswimmer in a random environment
• The role of tumbling in bacterial scattering at convex obstacles
• Escape dynamics of a self-propelled nanorod from circular confinements with narrow openings
• Pushing run-and-tumble particles through a rugged channel
• Future Directions for Active Matter on Ordered Substrates
• Active particles in reactive disordered media: how does adsorption affects diffusion?
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