Confined run-and-tumble swimmers in one dimension

Abstract

The persistent character of the motion of active particles gives rise to accumulation at boundaries. I investigate the problem of run-and-tumble swimmers confined in a 1D box with hard walls, reporting expressions for the particles probability distribution and wall pressure. A crossover box length value is found below which the initial value of the pressure turns out to be higher than the asymptotic one, indicating a bounce effect of the active "wave" of swimmers. The case of attracting and repelling boundaries are also investigated using two different tumble rates for particles in the bulk and at walls. Escape problems are finally analyzed by considering partially permeable walls through which particles can leave the box.

16 pages

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• Encounter-based model of a run-and-tumble particle II: absorption at sticky boundaries
• Positing the problem of stationary distributions of active particles as third-order differential equation
• Attractor-driven matter
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• Entropy production of active particles in underdamped regime
• Relating absorbing and hard wall boundary conditions for a one-dimensional run-and-tumble particle
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• Distribution and pressure of active Lévy swimmers under confinement
• Optimal run-and-tumble in slit-like confinement
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• Local entropy production rate of run-and-tumble particles
• Boundary layers, transport and universal distribution in boundary driven active systems
• An encounter-based approach for restricted diffusion with a gradient drift