Abstract
Additive symmetric Lévy noise can induce directed transport of overdamped particles in astatic asymmetric potential. We study, numerically and analytically, the effect ofan additional dichotomous random flashing in such a Lévy ratchet system. Forthis purpose we analyze and solve the corresponding fractional Fokker–Planckequations and we check the results with Langevin simulations. We study the behaviorof the current as a function of the stability index of the Lévy noise, the noiseintensity and the flashing parameters. We find that flashing allows us both toenhance and to diminish, over a broad range, the static Lévy ratchet current,depending on the frequencies and asymmetry of the multiplicative dichotomousnoise, and on the additive Lévy noise parameters. Our results thus extend those fordichotomous flashing ratchets with Gaussian noise to the case of broadly distributednoises.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
