Brownian motors in micro-scale domain: Enhancement of efficiency by noise

Abstract

We study a noisy drive mechanism for efficiency enhancement of Brownian motors operating on the micro-scale domain. It was proven [J. Spiechowicz et al., J. Stat. Mech. P02044, (2013)] that biased noise $\eta (t)$ can induce normal and anomalous transport processes similar to those generated by a static force $F$ acting on inertial Brownian particles in a reflection-symmetric periodic structure in presence of symmetric unbiased time-periodic driving. Here, we show that within selected parameter regimes, noise $\eta (t)$ of the mean value $⟨\eta (t)⟩=F$ can be significantly more effective than the deterministic force $F$: the motor can move much faster, its velocity fluctuations are much smaller and the motor efficiency increases several times. These features hold true in both normal and absolute negative mobility regimes. We demonstrate this with detailed simulations by resource to generalized white Poissonian noise. Our theoretical results can be tested and corroborated experimentally by use of a setup that consists of a resistively and capacitively shunted Josephson junction. The suggested strategy to replace $F$ by $\eta (t)$ may provide a new operating principle in which micro- and nanomotors could be powered by biased noise.

arXiv commentacccepted for publication in Phys. Rev. E

References in corpus (13)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Chaotic Transport and Current Reversal in Deterministic Ratchets
• Absolute negative mobility induced by thermal equilibrium fluctuations
• Quasiperiodically driven ratchets for cold atoms
• Carbon Nanotube Electron Windmills: A Novel Design for Nanomotors
• Brownian motors: current fluctuations and rectification efficiency
• Accelerating numerical solution of Stochastic Differential Equations with CUDA
• Observation of negative absolute resistance in a Josephson junction
• Adiabatic quantum motors
• Anomalous transport in biased ac-driven Josephson junctions: Negative conductances
• Absolute negative mobility induced by white Poissonian noise
• Highly-efficient noise-assisted energy transport in classical oscillator systems
• Negative conductances of Josephson junctions: Voltage fluctuations and energetics

Cited by in corpus (35)

• Efficiency statistics at all times: Carnot limit at finite power
• GPU accelerated Monte Carlo simulation of Brownian motors dynamics with CUDA
• Tunable mass separation via negative mobility
• Colossal Brownian yet non-Gaussian diffusion induced by nonequilibrium noise
• Noise-assisted energy transport in electrical oscillator networks with off-diagonal dynamical disorder
• Diffusion anomalies in ac driven Brownian ratchets
• Driven tracer with absolute negative mobility
• Negative mobility of a Brownian particle: strong damping regime
• SQUID ratchet: Statistics of transitions in dynamical localization
• Brownian ratchets: How stronger thermal noise can reduce diffusion
• Non-monotonic temperature dependence of chaos-assisted diffusion in driven periodic systems
• Real-time diagrammatic approach to current-induced forces: Application to quantum-dot based nanomotors
• Josephson phase diffusion in the SQUID ratchet
• Giant negative mobility of inertial particles caused by the periodic potential in steady laminar flows
• Efficiency of transport in periodic potentials: dichotomous noise contra deterministic force
• Thermodynamics and steady state of quantum motors and pumps far from equilibrium
• Anomalous transport in driven periodic systems: distribution of the absolute negative mobility effect in the parameter space
• Brownian particle in a Poisson-shot-noise active bath: exact statistics, effective temperature, and inference
• Periodic potential can enormously boost free particle transport induced by active fluctuations
• Tunable $\phi$ Josephson Junction ratchet
• Time-dependent probability density functions and information geometry in stochastic logistic and Gompertz models
• Mechanism for giant enhancement of transport induced by active fluctuations
• Paradoxical nature of negative mobility in the weak dissipation regime
• Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows
• Conceptual and practical approaches for investigating irreversible processes
• Giant oscillations of diffusion in ac-driven periodic systems
• Statistical features of systems driven by non-Gaussian processes: theory & practice
• Exact stationary solutions of the Kolmogorov-Feller equation in a bounded domain
• Colossal Brownian yet non-Gaussian diffusion in a periodic potential: impact of nonequilibrium noise amplitude statistics
• Stoke's efficiency and its stochastic properties
• Performance Optimization in Two-dimensional Brownian Rotary Ratchet Models
• Phase dependent vectorial current control in symmetric noisy optical ratchets
• Resonant current in coupled inertial Brownian particles with delayed-feedback control
• Comment on 'Absolute negative mobility in a one-dimensional overdamped system'
• Conundrum of weak noise limit for diffusion in a tilted periodic potential