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Fractional Brownian motors and stochastic resonance

2011/11/21 by Igor Goychuk, Vasyl O. Kharchenko, Vasyl Kharchenko · 51 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Brownian motor #Computer science #Condensed matter physics #Noise (video) #Nonlinear Dynamics and Pattern Formation #Physics #Power (physics) #Quantum mechanics #Ratchet #Rectification #Statistical physics #Stochastic resonance #Universality (dynamical systems) #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.85.051131

published in Physical Review E 85(5), 051131 (American Physical Society)

arxiv created 2011/11/21 · openalex publication_date 2012/05/22 · arxiv updated 2012/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study fluctuating tilt Brownian ratchets based on fractional subdiffusion in sticky viscoelastic media characterized by a power law memory kernel. Unlike the normal diffusion case, the rectification effect vanishes in the adiabatically slow modulation limit and optimizes in a driving frequency range. It is shown also that the anomalous rectification effect is maximal (stochastic resonance effect) at optimal temperature and can be of surprisingly good quality. Moreover, subdiffusive current can flow in the counterintuitive direction upon a change of temperature or driving frequency. The dependence of anomalous transport on load exhibits a remarkably simple universality.

Citations