“Exact Solution for Survival Probability and First-Passage Time of Self-Propelled Particle in Spherical Cavity”

https://pubmed.ncbi.nlm.nih.gov/38115486

This study derives and solves a Fokker-Planck equation for the motion of a self-propelled particle in a spherical cavity, providing an exact solution for the survival probability and first-passage time distribution, and examining their behavior in relation to the Péclet number and persistence time of non-equilibrium forces.