2011/08/30 by S. A. Ibáñez, Alejandro B. Kolton, A. B. Kolton +4
Biochemistry, Genetics and Molecular Biology · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Asymmetry #Computer science #Diffusion and Search Dynamics #Ecosystem dynamics and resilience #Engineering #Flashing #Langevin equation #Materials science #Mathematical analysis #Mathematics #Multiplicative function #Multiplicative noise #Noise (video) #Physics #Quantum mechanics #Range (aeronautics) #Ratchet #Statistical physics #Telecommunications #cond-mat.dis-nn #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1742-5468/2011/08/p08025
published as J. Stat. Mech. (2011) P08025 · 15 pages, 6 figures
openalex publication_date 2011/08/30 · arxiv created 2011/09/02 · arxiv updated 2011/09/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 a 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 a function of the stability index of the Lévy noise, the noise intensity and the flashing parameters. We find that flashing allows us both to enhance and to diminish, over 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.