Artificial Brownian motors: Controlling transport on the nanoscale
arXiv:0807.1283 · doi:10.1103/RevModPhys.81.387
Abstract
In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases, one speaks of "Brownian motors". In this review the constructive role of Brownian motion is exemplified for various one-dimensional setups, mostly inspired by the cell molecular machinery: working principles and characteristics of stylized devices are discussed to show how fluctuations, either thermal or extrinsic, can be used to control diffusive particle transport. Recent experimental demonstrations of this concept are reviewed with particular attention to transport in artificial nanopores and optical traps, where single particle currents have been first measured. Much emphasis is given to two- and three-dimensional devices containing many interacting particles of one or more species; for this class of artificial motors, noise rectification results also from the interplay of particle Brownian motion and geometric constraints. Recently, selective control and optimization of the transport of interacting colloidal particles and magnetic vortices have been successfully achieved, thus leading to the new generation of microfluidic and superconducting devices presented hereby. Another area with promising potential for realization of artificial Brownian motors are microfluidic or granular set-ups.....
57 pages, 39 figures; submitted to Reviews Modern Physics, revised version
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- Cyclotron- and magnetoplasmon resonances in bilayer graphene ratchets
- Rectified motion in an asymmetric channel: the role of hydrodynamic interactions with walls
- Rectification of energy and motion in non-equilibrium parity violating metamaterials
- Kink Localization under Asymmetric Double-Well Potential
- Giant oscillations of diffusion in ac-driven periodic systems
- Periodic force induced stabilization or destabilization of the denatured state of a protein
- Dynamics stabilization and transport coherency in a rocking ratchet for cold atoms
- Symmetry-breaking in clogging for oppositely driven particles
- Dimensional coupling induced current reversal in two-dimensional driven lattices
- Escape dynamics of a self-propelled nanorod from circular confinements with narrow openings
- Net motion induced by nonantiperiodic vibratory or electrophoretic excitations with zero time average
- Geometric quantum pumping in the presence of dissipation
- Entropy production and rectification efficiency in colloids transport along a pulsating channel
- Asymptotic theory of quasiperiodically driven quantum systems
- Nanometer scale resolution, multi-channel separation of spherical particles in a rocking ratchet with increasing barrier heights
- Novel structure formation of a phase separating colloidal fluid in a ratchet potential
- Interacting molecular motors: Efficiency and work fluctuations
- Gaussian white noise as a resource for microscopic engines
- Models of granular ratchets
- Superballistic center-of-mass motion in one-dimensional attractive Bose gases: Decoherence-induced Gaussian random walks in velocity space
- Patterned Deposition of Particles in Spatio-temporally Driven Lattices
- Directed transport in periodically rocked random sawtooth potentials
- Confined diffusion in a random Lorentz gas environment
- On the transport of interacting particles in a chain of cavities: Description through a modified Fick-Jacobs equation
- Pushing run-and-tumble particles through a rugged channel
- Enhancement of the longitudinal transport by a weakly transversal drive
- Capacitively coupled nano conductors: Ratchet currents and exchange fluctuation relations
- Dynamical density functional theory for the diffusion of injected Brownian particles
- Fluctuation theorems for excess and housekeeping heats for underdamped systems
- Magnetic quantum ratchet effect in Si-MOSFETs
- Accurate control of a Bose-Einstein condensate by managing the atomic interaction
- Cooperative surmounting of bottlenecks
- Collective transport in the discrete Frenkel-Kontorova model
- Lissajous rocking ratchet
- Generation of a tunable environment for electrical oscillator systems
- Optimizing thermally affected ratchet currents using periodic perturbations
- Fluctuations and stability of a fast driven Otto cycle
- Statistical Approach to Quantum Chaotic Ratchets
- Non-sinusoidal current and current reversals in a gating ratchet
- Drift induced by dissipation
- Generalized Landauer formula for time-dependent potentials and noise-induced zero-bias dc current
- Stocks and Cryptocurrencies: Anti-fragile or Robust?
- Dynamic renormalization group theory for open Floquet systems
- Freezing, accelerating and slowing directed currents in real time with superimposed driven lattices
- Heat transfer mediated by the Berry-phase in non-reciprocal many-body systems
- YBaCuO Josephson diode operating as a high-efficiency ratchet
- Universal asymptotic behavior in nonlinear systems driven by a two-frequency forcing
- Weak-Chaos Ratchet Accelerator
- Charge ratchet from spin flip: space-time symmetry paradox
- Experimental measurement of efficiency and transport coherence of a cold atom Brownian motor in optical lattices
- Emergence of continual directed flow in Hamiltonian systems
- Levy ratchets with dichotomic random flashing
- Cooperative dynamics in two-component out-of-equilibrium systems: Molecular "spinning tops"
- Observation of anomalously strong penetration of terahertz electric field through terahertz-opaque gold films into a GaAs/AlGaAs quantum well
- Low-temperature quantum fluctuations in overdamped ratchets
- Fluctuating noise drives Brownian transport
- Coherent Quantum Ratchets Driven by Tunnel Oscillations
- Terahertz ratchet in graphene 2D metamaterial formed by a patterned gate with an antidot arrayd
- Aspects of quantum cooling in electron and atom systems
- Rectification of motion in nonlinear media with asymmetric random drive
- Transport in a chain of asymmetric cavities: Effects of the concentration with hard-core interaction
- Optimization of electron pumping by harmonic mixing
- Leaking elastic capacitor as model for active matter
- Interacting Brownian particles exhibiting enhanced rectification in an asymmetric channel
- Stochastic ratcheting of two dimensional colloids : Directed current and dynamical transitions
- Asymmetric ac fluxon depinning in a Josephson junction array: A highly discrete limit
- Kinetic Monte Carlo Simulations for Birefringence Relaxation of Photo-Switchable Molecules on a Surface
- Towards Stirling engine using an optically confined particle subjected to asymmetric temperature profile
- Heat pump driven by the shot noise of a tunnel contact
- Competition between ac driving-forces and Lévy flights in a nonthermal ratchet
- Directed transport in a ratchet with internal and chemical freedoms
- Current reversal in interacting colloids under time-periodic drive
- Active and Passive Transport of Cargo in a Corrugated Channel: A Lattice Model Study
- Thermal generation of shift electric current
- External field-induced dynamics of a charged particle on a closed helix
- Velocity multistability vs ergodicity breaking in a biased periodic potential
- Driven anisotropic diffusion at boundaries: noise rectification and particle sorting
- Spin-Orbit Based Coherent Spin Ratchets
- Numerical Methods for Computing Effective Transport Properties of Flashing Brownian Motors
- Emergent motion of condensates in mass-transport models
- Directional transport along an atomic chain
- Noncommutative Brownian motion
- Nonequilibrium work equalities in isolated quantum systems
- Thermal gas rectification using a sawtooth channel
- Nonlinear dynamics of Josephson vortices in a film screen under dc and ac magnetic fields
- Diffusion Properties of a Brownian Ratchet with Coulomb Friction
- Terahertz spin ratchet effect in magnetic metamaterials
- Harmonic dual dressing of spin one-half systems
- Controlling mobility via rapidly oscillating time-periodic stimulus
- Additivity of multiple heat reservoirs in Langevin equation
- Dissipation engineered directional filter for quantum ratchets
- Transition path time over a barrier of a colloidal particle in a viscoelastic bath
- Rectification of spatial disorder
- Hydrodynamic approximations for driven dense colloidal mixtures in narrow pores
- A First-Principles Nonequilibrium Deterministic Equation of Motion of a Brownian Particle and Microscopic Viscous Drag
- Quantum thermochemical engines
- First-passage times in conical varying-width channels biased by a transverse gravitational force: Comparison of analytical and numerical results
- Intrinsic ratchets: A Hamiltonian approach
- Directed transport with real-time steering and drifts along pre-designed paths using a Brownian motor
- Probability distribution function for systems driven by superheavy-tailed noise
- Temperature anomalies of oscillating diffusion in ac-driven periodic systems
- Directed motion of domain walls in biaxial ferromagnets under the influence of periodic external magnetic fields
- Active Transport of Cargo-Carrying and Interconnected Chiral Particles
- Brownian dynamics of Dirac fermions in twisted bilayer graphene
- Active-passive mixtures with bulk loading: a minimal active engine in one dimension
- Poissonian noise assisted transport in periodic systems
- Stoke's efficiency and its stochastic properties
- Control of diffusion of nano-particles in an optical vortex lattice
- Nanostructured Superconductors
- Interacting Particles in Disordered Flashing Ratchets
- Rotational ratchets with dipolar interactions
- Breaking the symmetry of a Brownian motor with symmetric potentials
- Weak stochastic ratchets and dynamic localization in measurement-induced quantum trajectories
- A dynamical model for Brownian molecular motors driven by inelastic electron tunneling
- Directed motion of doublons and holes in periodically driven Mott insulators
- The problem of engines in statistical physics
- Transport of Finite Size Self-Propelled Particles Confined in a 2D Zigzag Channel with Gaussian Colored Noise
- Ratchet effect on a relativistic particle driven by external forces
- Experimental demonstration of novel optical Brownian ratchet by controllable phase profile of light
- Characteristics of the polymer transport in ratchet systems
- Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal
- Directional Transport of Propelled Brownian Particles Confined in a Smooth Corrugated Channel with Colored Noise
- Heat-to-motion conversion for quantum active matter
- Generic shape of multichromatic resonance peaks
- Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement
- Heat conduction in systems with Kolmogorov-Arnold-Moser phase space structure
- Generalized thermodynamics of an autonomous micro-engine
- Macrotransport of active particles in periodic channels and fields: rectification and dispersion
- Memory Effect in Upper Bound of Heat Flux Induced by Quantum Fluctuations
- Inertial frictional ratchets and their load bearing efficiencies
- Model -- curves and figures of merit of underdamped deterministic Josephson ratchets
- Monitoring Entanglement Evolution and Collective Quantum Dynamics
- Local detailed balance for active particle models
- Invited review: Fluctuation-induced transport. From the very small to the very large scales
- Site-selective particle deposition in periodically driven quantum lattices
- Observation of stochastic resonance in directed propagation of cold atoms
- Destructive effect of fluctuations on the performance of a Brownian gyrator
- Bounds and phase diagram of efficiency at maximum power for tight-coupling molecular motors
- Performance Optimization in Two-dimensional Brownian Rotary Ratchet Models
- Resonant tunneling-based spin ratchets
- Symmetries and transport in site-dependently driven quantum lattices
- Symmetry breaking for ratchet transport in presence of interactions and magnetic field
- Fractional positional jumps in stochastic systems with tilted periodic double-well potentials
- Topological Thouless pumping in arrays of coupled spin chains
- Reversal of tracer advection and Hall drift in an interacting chiral fluid
- Quantum transport phenomena induced by time-dependent fields
- Out-of-equilibrium one-dimensional disordered dipole chain
- Ambipolar Ion Pumping with Ratchet Driven Active Membranes
- Ratchet effect in frequency-modulated waveguide-coupled emitter arrays
- Levy flights in confining environments: Random paths and their statistics
- Zero-bias current induced by periodic drive of any shape
- Negative mobility, sliding and delocalization for stochastic networks
- Brownian motors: Joint effect of non-Gaussian noise and time asymmetric forcing
- Tailored particle current in an optical lattice by a weak time-symmetric harmonic potential
- Graphene under bichromatic driving: Commensurability and spatio-temporal symmetries
- Can a periodically driven particle resist laser cooling and noise?
- Phase dependent vectorial current control in symmetric noisy optical ratchets
- Fluctuation-induced drift in a gravitationally tilted optical lattice
- The transport phenomenon of inertia Brownian particles in a periodic potential with non-Gaussian noise
- Performance Estimation for Two-Dimensional Brownian Rotary Ratchet Systems
- On dispersionless transport in washboard potentials
- Single-layer metal-on-metal islands driven by strong time-dependent forces
- Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
- Efficient transport controlled by biharmonic frictional driving
- Comment on "Ratchet universality in the presence of thermal noise"
- Transport of quantum excitations via local and nonlocal fluctuations
- Nonequilibrium Langevin equation and effective temperature for particle interacting with spatially extended environment
- Realization of ultrabroadband THz/IR photoresponse in a bias-tunable ratchet photodetector
- Motion from Measurement: The Role of Symmetry of Quantum Measurements
- Spontaneous continuous orbital motion of a pair of nanoparticles levitated in air
- Emergence of Sinai Physics in the stochastic motion of passive and active particles
- Quantum Hamiltonian daemons: unitary analogs of combustion engines
- Quantum Analysis and Thermodynamic Operator Relations in Stochastic Energetics
- Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices
- Controlling vortical motion of particles in two-dimensional driven superlattices
- Multiple current reversals using superimposed driven lattices
- Sustained rotation in a vibrated disk with asymmetric supports
- Abnormal magnetoresistance behavior in Nb thin film with rectangular antidot lattice
- A parity breaking Ising chain Hamiltonian as a Brownian motor
- Nonequilibrium dynamical structure of a dilute suspension of active particles in a viscoelastic fluid
- Perturbative expansion of irreversible works in symmetric and asymmetric processes
- The coupled dynamics of two particles with different limit sets
- Brownian-motion approach to statistical mechanics: Langevin equations, fluctuations, and timescales
- Motility and Energetics of Randomly Flashing Ratchets
- Driven particle dispersion in narrow disordered racetracks
- Statistical physics of flux-carrying Brownian particles
- Sliding elastic lattice: an explanation of the motion of superconducting vortices
- Energy Flux in Hierarchical Equations of Motion Method and Its Application to a Three-Level Heat Engine
- A dynamic picture of energy conversion in photovoltaic devices
- Non-adiabatic pumping in an oscillating-piston model
- Gaussian work extraction from random Gaussian states is nearly impossible
- Controlling transport of underdamped particles in two-dimensional driven Bravais lattices
- Entropic Quantum Machine
- Ratchet effect and jamming in dense mixtures of active and passive colloids in narrow pores
- Chaotic and ballistic dynamics in time-driven quasiperiodic lattices
- Complete analytic solution to Brownian unicycle dynamics
- Dynamics of a Mechanical System with Multiple Degrees of Freedom out of Thermal Equilibrium
- Thermodynamic Emergence of a Brownian Motor
- Pumping current of a Luttinger liquid with finite length
- A multiple-timing analysis of temporal ratcheting
- Directed transport in coupled noisy Josephson junctions controlled via ac signals
- Universal patterns in multifrequency-driven dissipative systems
- The tilted flashing Brownian ratchet
- Modeling the effect of transient violations of the second law of thermodynamics on heat transfer in silicon nanowire
- Reply to "Comment on `Directed motion of spheres by unbiased driving forces in viscous fluids beyond the Stokes' law regime' "
- Mass separation in an asymmetric channel
- Archimedean Screw in Driven Chiral Magnets
- Conundrum of weak noise limit for diffusion in a tilted periodic potential
- Realization of macroscopic ratchet effect based on nonperiodic and uneven potentials
- Brownian motion theory of the two-dimensional quantum vortex gas
- Diffusion in confined geometries
- Structure-dynamics relationship in ratcheted colloids: Resonance melting, dislocations, and defect clusters
- Effective diffusion of a tracer in active bath: a path-integral approach
- Quantum ratchet with Lindblad rate equations
- Intermediate scattering function of Brownian particles in a tilted cosine potential
- Separation of bi-dispersed microspheres in dusty plasma ratchet experiments
- Riding the Wave: Polymers in Time-dependent Nonequilibrium Baths
- Boundary-Induced Drift and Negative Mobility in Constrained Stochastic Systems
- Reliability of fluctuation-induced transport in a Maxwell-demon-type engine
- Deterministic transport of particles in a micro-pump
- Ratchet Hall Effect in Fluctuating Superconductors
- Optimal control over the full counting statistics in a non-adiabatic pump
- Non-Gaussian Normal Diffusion in Low Dimensional Systems
- Tunable Sorting of Mesoscopic Chiral Structures by External Noise in Achiral Periodic Potentials
- Localization of states, Bloch wave and quantum phase transitions in SUSY deformed potentials in non-Hermitian optical systems
- Volume exclusion and elasticity driven directional transport: an alternative model for bacterium motility
- Transport with hard-core interaction in a chain of asymmetric cavities
- General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime
- Anisotropic thermalization propelled motor
- Experimental demonstration of photonic quantum ratchet
- Diffusion and transport in locally disordered driven lattices
- Rotation-translation coupling of a double-headed brownian motor in a traveling-wave potential