Levy ratchets with dichotomic random flashing

Abstract

Additive symmetric Lévy 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 Lévy 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 Lévy noise, the noise intensity and the flashing parameters. We find that flashing allows both to enhance and diminish in a broad range the static Lévy ratchet current, depending on the frequencies and asymmetry of the multiplicative dichotomous noise, and on the additive Lévy noise parameters. Our results thus extend those for dichotomous flashing ratchets with Gaussian noise to the case of broadly distributed noises.

15 pages, 6 figures

References in corpus (8)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Fractional Laplacian in Bounded Domains
• Quasiperiodically driven ratchets for cold atoms
• Transport in a Levy ratchet: Group velocity and distribution spread
• Fluctuation-driven directed transport in the presence of Levy flights
• Lévy Ratchet in a Weak Noise Limit: Theory and Simulation
• Directed transport driven by Lévy flights coexisting with subdiffusion
• Competition between ac driving-forces and Lévy flights in a nonthermal ratchet