Levy ratchets with dichotomic random flashing

TL;DR

This paper investigates how dichotomous flashing modulates directed transport in Le9vy ratchets, revealing that flashing can both enhance and suppress current depending on noise parameters, extending Gaussian noise ratchet results.

Contribution

It provides a combined analytical and numerical analysis of Le9vy ratchets with dichotomous flashing, extending previous Gaussian noise studies to heavy-tailed noise distributions.

Findings

Flashing can both increase and decrease ratchet current.

Current depends on noise stability index, intensity, and flashing parameters.

Results extend understanding of noise-induced transport to Le9vy noise.

Abstract

Additive symmetric L\'evy noise can induce directed transport of overdamped particles in a static asymmetric potential. We study, numerically and analytically, the effect of an additional dichotomous random flashing in such L\'evy ratchet system. For this purpose we analyze and solve the corresponding fractional Fokker-Planck equations and we check the results with Langevin simulations. We study the behavior of the current as function of the stability index of the L\'evy noise, the noise intensity and the flashing parameters. We find that flashing allows both to enhance and diminish in a broad range the static L\'evy ratchet current, depending on the frequencies and asymmetry of the multiplicative dichotomous noise, and on the additive L\'evy noise parameters. Our results thus extend those for dichotomous flashing ratchets with Gaussian noise to the case of broadly distributed noises.