Competition between ac driving-forces and L\'{e}vy flights in a nonthermal ratchet

TL;DR

This paper studies how Le9vy flights and ac-driving forces influence particle transport in a nonthermal ratchet, revealing complex phenomena like multiple reversals and nonmonotonic velocity behaviors.

Contribution

It demonstrates the competing effects of Le9vy noise and ac-driving forces on transport, highlighting novel phenomena such as multiple reversals and velocity nonmonotonicity.

Findings

Multiple transport reversals with changing noise intensity

Group velocity nonmonotonic in Le9vy index for small noise

Competition induces peculiar transport phenomena

Abstract

Transport of overdamped particles in an asymmetrically periodic potential is investigated in the presence of L\'{e}vy noise and ac-driving forces. The group velocity is used to measure the transport driven by the nonthermal noise. It is found that the L\'{e}vy flights and ac-driving forces are the two different driving factors that can break thermodynamical equilibrium. The competition between the two factors will induce some peculiar phenomena. For example, multiple transport reversals occur on changing the noise intensity. Additionally, we also find that the group velocity as a function of L\'{e}vy index is nonmonotonic for small values of the noise intensity.