Fractional Brownian motors and Stochastic Resonance
arXiv:1111.4833 · doi:10.1103/PhysRevE.85.051131
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 anomalous rectification effect is maximal (stochastic resonance effect) at optimal temperature and can exhibit a surprisingly good quality. Moreover, subdiffusive current can flow in the counter-intuitive direction upon a change of temperature or driving frequency. The dependence of anomalous transport on load exhibits a remarkably simple universality.
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- Subdiffusive rocking ratchets in viscoelastic media: transport optimization and thermodynamic efficiency in overdamped regime
- Molecular machines operating on nanoscale: from classical to quantum
- Flashing subdiffusive ratchets in viscoelastic media
- Rocking Subdiffusive Ratchets: Origin, Optimization and Efficiency
- Modeling magnetosensitive ion channels in viscoelastic environment of living cells
- Weakly driven anomalous diffusion in non-ergodic regime: an analytical solution
- Metastability for telegraph processes in a double-well potential