Flashing subdiffusive ratchets in viscoelastic media
arXiv:1201.5287 · doi:10.1088/1367-2630/14/4/043042
Abstract
We study subdiffusive ratchet transport in periodically and randomly flashing potentials. Central Brownian particle is elastically coupled to surrounding auxiliary Brownian quasi-particles which account for the influence of viscoelastic environment. Similar to standard dynamical modeling of Brownian motion, the external force influences only the motion of central particle not affecting directly the environmental degrees of freedom (see video). Just a handful of auxiliary Brownian particles suffice to model subdiffusion over many temporal decades. Time-modulation of the potential violates the symmetry of thermal detailed balance and induces anomalous subdiffusive current which exhibits a remarkable quality at low temperatures, as well as a number of other surprising features such as saturation at low temperatures, and multiple inversions of the transport direction upon a change of the driving frequency in nonadiabatic regime. Our study generalizes classical Brownian motors towards operating in sticky viscoelastic environments like cytosol of biological cells or dense polymer solutions.
References in corpus (9)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Random Time-Scale Invariant Diffusion and Transport Coefficients
- Fundamental Aspects of Quantum Brownian Motion
- Viscoelastic subdiffusion: from anomalous to normal
- Fractional Fokker-Planck dynamics: Numerical algorithm and simulations
- Fractional Brownian motors and Stochastic Resonance
- Markovian embedding of fractional superdiffusion
- Universal fluctuations in subdiffusive transport
- Subdiffusive Brownian ratchets rocked by a periodic force
Cited by in corpus (10)
- Coexistence and efficiency of normal and anomalous transport by molecular motors in living cells
- Molecular motors transporting cargos in viscoelastic cytosol: how to beat subdiffusion with a power stroke?
- Fractional Brownian motors and Stochastic Resonance
- Fluid viscoelasticity triggers fast transitions of a Brownian particle in a double well optical potential
- Viscoelastic subdiffusion in a random Gaussian environment
- Anomalous transport of subdiffusing cargos by single kinesin motors: the role of mechanochemical coupling and anharmonicity of tether
- Molecular machines operating on nanoscale: from classical to quantum
- Subdiffusive rocking ratchets in viscoelastic media: transport optimization and thermodynamic efficiency in overdamped regime
- Rocking Subdiffusive Ratchets: Origin, Optimization and Efficiency
- Modeling magnetosensitive ion channels in viscoelastic environment of living cells