Pressure and Flow of Exponentially Self-Correlated Active Particles

Abstract

Microscopic swimming particles, which dissipate energy to execute persistent directed motion, are a classic example of a non-equilibrium system. We investigate the non-interacting Ornstein--Uhlenbeck Particle (OUP), which is propelled through a viscous medium by a force which is correlated over a finite time. We obtain an exact expression for the steady state phase-space density of a single OUP confined by a quadratic potential, and use the result to explore more complex geometries, both through analytical approximations and numerical simulations. In a "Casimir"-style setup involving two narrowly-spaced walls, we describe a particle-trapping phenomenon, which leads to a repulsive effective interaction between the walls; while in a two-dimensional annulus geometry, we observe net stresses which resemble the Laplace pressure.

Main text six pages, four figures

References in corpus (6)

• Motility-Induced Phase Separation
• Fluid Flows Created by Swimming Bacteria Drive Self-Organization in Confined Suspensions
• A self-propelled particle in an external potential: is there an effective temperature?
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Generalized energy equipartition in harmonic oscillators driven by active baths
• Directed transport of active particles over asymmetric energy barriers

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• Memory Effects in Active Particles with Exponentially Correlated Propulsion
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• Noisy pursuit by a self-steering active particle in confinement
• Thermodynamic nature of irreversibility in active matter
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