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

TL;DR

This paper investigates how non-Gaussian noise influences the transport and diffusion of inertia Brownian particles in a periodic potential, revealing optimal noise intensities and correlation times for directed movement.

Contribution

It demonstrates the distinct effects of non-Gaussian noise on particle transport, highlighting conditions where it induces movement unlike Gaussian noise.

Findings

Proper noise intensity Q promotes particle movement and diffusion.

Large Q causes maximum average velocity and diffusion coefficient at specific correlation times.

Non-Gaussian noise can induce directed movement where Gaussian noise cannot.

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 V (or the diffusion coefficient D) has a maximum with increasing correlation time tau. But for small value of Q, V (or D) decreases with increasing tau. In some cases, for the same value of Q and the same value of tau, non-Gaussian noise can induce particles directional movement(or diffusion), but Gaussian colored noise can not.