Active particles driven by competing spatially dependent self-propulsion and external force

We investigate how the competing presence of a nonuniform motility landscape and an external confining field affects properties active particles. employ Ornstein-Uhlenbeck particle (AOUP) model with periodic swim-velocity profile to derive analytical approximations for steady-state probability distribution position velocity, encompassing both Unified Colored Noise Approximation theory potential-free particles spatially dependent swim velocity recently developed. test by in harmonic trap, which gives rise interesting properties, such as transition from unimodal bimodal (and, eventually multimodal) spatial density, induced decreasing period self propulsion. Correspondingly, shows pronounced deviations Gaussian shape, even displaying high-motility regions. thus show that interplay two relatively simple physical fields can be employed generate complex emerging behavior.