Current and diffusion of Overdamped Active Brownian Particles in a Ratchet Potential

The transport properties of a spherical active Brownian particle in a periodic potential under heavy damping are considered. The self-propelled particle is subjected to the asymmetric potential, detailed balance is lost and the particles generate a non-zero drift speed. The average current is calculated and the diffusivity of the particle is analyzed from the effective diffusion coefficient. For chiral active particles, the diffusivity decreases with increasing the angular velocity, confining the particle near the initial position, and reducing the average current.