The escape problem for active particles confined to a disc

Abstract

We study the escape problem for interacting, self-propelled particles confined to a disc, where particles can exit through one open slot on the circumference. Within a minimal 2D Vicsek model, we numerically study the statistics of escape events when the self-propelled particles can be in a flocking state. We show that while an exponential survival probability is characteristic for non-interaction self-propelled particles at all times, the interacting particles have an initial exponential phase crossing over to a sub-exponential late-time behavior. We propose a new phenomenological model based on non-stationary Poisson processes which includes the Allee effect to explain this sub-exponential trend and perform numerical simulations for various noise intensities.

References in corpus (19)

• Novel type of phase transition in a system of self-driven particles
• Active Particles in Complex and Crowded Environments
• Active Motion of Janus Particle by Self-thermophoresis in Defocused Laser Beam
• The 2019 Motile Active Matter Roadmap
• Swarming and swirling in self-propelled polar granular rods
• Flocking at a distance in active granular matter
• Emergent vortices in populations of colloidal rollers
• Self-Propelled Rods: Insights and Perspectives for Active Matter
• The Physics of the Vicsek Model
• Sorting of Chiral Microswimmers
• A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
• Universal survival probability for a $d$-dimensional run-and-tumble particle
• Polarization of active Janus particles
• Phase transitions in swarming systems: A recent debate
• Narrow escape and leakage of Brownian particles
• Sorting motile rods by activity
• Trapping and sorting active particles: motility-induced condensation & smectic defects
• Transport of active particles in an open-wedge channel
• Narrow-escape time and sorting of active particles in circular domains

Cited by in corpus (7)

• Escape kinetics of self-propelled particles from a circular cavity
• Confinement and collective escape of active particles
• Phase separation of active Brownian particles on curved surfaces
• Asymptotic analysis and simulation of mean first passage time for active Brownian particles in 1-D
• Escape dynamics of a self-propelled nanorod from circular confinements with narrow openings
• Trapping Instability of an Active Particle in Steering Potential Fields
• Correlated escape of active particles across a potential barrier