The transport phenomenon of inertia Brownian particles in a periodic potential with non-Gaussian noise

Abstract

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement (or diffusion), but large Q will inhibit this phenomenon. For large value of Q, the average velocity [Formula: see text] (or the diffusion coefficient D) has a maximum with increasing correlation time [Formula: see text]. But for small value of Q, [Formula: see text] (or D) decreases with increasing [Formula: see text]. In some cases, for the same value of Q and the same value of [Formula: see text], non-Gaussian noise can induce particles directional movement (or diffusion), but Gaussian colored noise cannot.