The narrow escape problem of a chiral active particle (CAP): an optimal scheme

We present a simulation study on the escape behavior of a chiral active particle (CAP) in a circular domain with a small exit through simulation. Our main goal is to optimize the CAP's escape likelihood based on factors like its translational and rotational speeds, domain size, and other parameters. We identified three distinct escape regimes: the noise-dominated, optimal, and chiral activity-dominated regimes. In the optimal regime, the CAP follows a path that first leads directly to the boundary and then drifts along it toward the exit. Furthermore, we propose a non-dimensionalization approach to optimize the escape performance across microorganisms with varying motile characteristics. Additionally, we explore the influence of the translational and rotational noise on the CAP's escape kinetics.