Brownian motors: noisy transport far from equilibrium

Abstract

Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal noise and some prototypical perturbation that drives the system out of equilibrium without introducing a priori an obvious bias into one or the other direction of motion. Symmetry conditions for the appearance (or not) of directed current, its inversion upon variation of certain parameters, and quantitative theoretical predictions for specific models are reviewed as well as a wide variety of experimental realizations and biological applications, especially the modeling of molecular motors. Extensions include quantum mechanical and collective effects, Hamiltonian ratchets, the influence of spatial disorder, and diffusive transport.

Revised version (Aug. 2001), accepted for publication in Physics Reports

References in corpus (24)

• Classical and Quantum Hamiltonian Ratchets
• Brownian motion exhibiting absolute negative mobility
• Drift without flux: Brownian walker with a space dependent diffusion coefficient
• Atomic scale engines: Cars and wheels
• Josephson vortex in a ratchet potential: Theory
• Quantum ratchet effect for vortices
• Inattainability of Carnot efficiency in the Brownian heat engine
• Rectification of current in ac-driven nonlinear systems and symmetry properties of the Boltzmann equation
• Negative Resistance in Brownian Transport
• Surmounting Oscillating Barriers: Path-integral approach for Weak Noise
• Extended Kinetic Models with Waiting-Time Distributions: Exact Results
• Dynamical mechanisms of DC current generation in driven Hamiltonian systems
• Transition from anomalous to normal hysteresis in a system of coupled Brownian motors: a mean field approach
• Molecular motor that never steps backwards
• Multiple current reversals in forced inhomogeneous ratchets
• Mirror symmetry breaking through an internal degree of freedom leading to directional motion
• Quenched Disorder Effects on Deterministic Inertia Ratchets
• Detachment of molecular motors under tangential loading
• Stabilization of ratchet dynamics by weak periodic signals
• Irreversible and reversible modes of operation of deterministic ratchets
• Motion in a rocked ratchet with spatially periodic friction
• Force Dependence of the Michaelis Constant in a Two-State Ratchet Model for Molecular Motors
• Energy transduction in periodically driven non-Hermitian systems
• Pipeline model of a Fermi-sea electron pump

Cited by in corpus (896)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Active Particles in Complex and Crowded Environments
• Artificial Brownian motors: Controlling transport on the nanoscale
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Driven quantum transport on the nanoscale
• A bacterial ratchet motor
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Brownian motors
• Single-molecule experiments in biological physics: methods and applications
• Ciliary contact interactions dominate surface scattering of swimming eukaryotes
• Equality connecting energy dissipation with violation of fluctuation-response relation
• Reversible quantum Brownian heat engines for electrons
• Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
• Phototaxis of synthetic microswimmers in optical landscapes
• Self-propelled Janus particles in a ratchet: Numerical simulations
• Fundamental Aspects of Quantum Brownian Motion
• Optical forces arising from phase gradients
• Self-Starting Micromotors in a Bacterial Bath
• Nonequilibrium Thermodynamics of Feedback Control
• Relativistic Brownian Motion
• Holographic optical trapping
• Quantum transport in Rashba spin-orbit materials: A review
• Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers
• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspective
• Intra-cellular transport of single-headed molecular motors KIF1A
• Sorting of Chiral Microswimmers
• Noise Enhanced Stability in Fluctuating Metastable States
• Vortex rectification effects in films with periodic asymmetric pinning
• Brownian motion exhibiting absolute negative mobility
• Efficiency of heat engines coupled to nonequilibrium reservoirs
• Phase-control of directed diffusion in a symmetric optical lattice
• Molecular Wires Acting as Coherent Quantum Ratchets
• Exact microscopic analysis of a thermal Brownian motor
• Internal strain regulates the nucleotide binding site of the kinesin leading head
• Tunable transport with broken space-time symmetries
• Influence of non-conservative optical forces on the dynamics of optically trapped colloidal spheres: The fountain of probability
• The geometry of thermodynamic control
• Effect of Non-Gaussian Noise Sources in a Noise Induced Transition
• Irreversibility, heat and information flows induced by non-reciprocal interactions
• The Brownian gyrator: a minimal heat engine on the nano-scale
• Stochastic thermodynamics of single enzymes and molecular motors
• Ratchet-like dynamics of fluxons in annular Josephson junctions driven by bi-harmonic microwave fields
• Quasiperiodically driven ratchets for cold atoms
• Efficiency of molecular motors at maximum power
• Ratcheting of granular materials
• Dissipation-induced symmetry breaking in a driven optical lattice
• Experimental Realization of Quantum-Resonance Ratchets
• Driving magnetic skyrmions with microwave fields
• Feedback control in a collective flashing ratchet
• Periodically driven Quantum Ratchets: Symmetries and Resonances
• Directed flow in non-adiabatic stochastic pumps
• A double-dot quantum ratchet driven by an independently biased quantum point contact
• Current in a three-dimensional periodic tube with unbiased forces
• Directed transport of active particles over asymmetric energy barriers
• Imitating Chemical Motors with Optimal Information Motors
• Stochastic time-evolution, information geometry and the Cramer-Rao Bound
• Observation of Flux Reversal in a Symmetric Optical Thermal Ratchet
• Noise Induced Complexity: From Subthreshold Oscillations to Spiking in Coupled Excitable Systems
• Brownian motors: current fluctuations and rectification efficiency
• Broken space-time symmetries and mechanisms of rectification of ac fields by nonlinear (non)adiabatic response
• Quantum ratchet effect for vortices
• Terahertz ratchet effects in graphene with a lateral superlattice
• Rectified momentum transport for a kicked Bose-Einstein Condensate
• Directed Chaotic Transport in Hamiltonian Ratchets
• Molecular Motor Constructed from a Double-Walled Carbon Nanotube Driven by Axially Varying Voltage
• Single-Temperature Quantum Engine Without Feedback Control
• Accelerating numerical solution of Stochastic Differential Equations with CUDA
• Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes
• Casimir force driven ratchets
• Current large deviations for driven periodic diffusions
• Fluctuation-Driven Molecular Transport in an Asymmetric Membrane Channel
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Autonomous engines driven by active matter: Energetics and design principles
• Energy dissipation and violation of the fluctuation-response relation in non-equilibrium Langevin systems
• Brownian motion from molecular dynamics
• Ratchet effect for cold atoms in an optical lattice
• High efficiency deterministic Josephson Vortex Ratchet
• Reversible Vortex Ratchet Effects and Ordering in Superconductors with Simple Asymmetric Potential Arrays
• Speckle Optical Tweezers: Micromanipulation with Random Light Fields
• Josephson junction with magnetic-field tunable ground state
• Coexistence and efficiency of normal and anomalous transport by molecular motors in living cells
• Dipole-induced vortex ratchets in superconducting films with arrays of micromagnets
• Vibrational effects in laser driven molecular wires
• Brownian refrigerator
• Measurement driven single temperature engine
• Anticipated synchronization in coupled inertia ratchets with time-delayed feedback: a numerical study
• Enhancement of stability in randomly switching potential with metastable state
• Controlling heat transport and flow structures in thermal turbulence using ratchet surfaces
• Soliton ratchets induced by ac forces with harmonic mixing
• The unreasonable effectiveness of equilibrium-like theory for interpreting non-equilibrium experiments
• Rectification of laser-induced electronic transport through molecules
• Traffic of interacting ribosomes on mRNA during protein synthesis: effects of chemo-mechanics of individual ribosomes
• Traffic of interacting ribosomes: effects of single-machine mechano-chemistry on protein synthesis
• Brownian ratchet in a thermal bath driven by Coulomb friction
• Quantum ratchets in dissipative chaotic systems
• Brownian motion and gambling: from ratchets to paradoxical games
• Ferrofluids as thermal ratchets
• Normal metal - superconductor tunnel junction as a Brownian refrigerator
• Recycled Noise Rectification: A Dumb Maxwell's Daemon
• Broken symmetries and directed collective energy transport
• On the origin of the reversed vortex ratchet motion
• Rectifying fluctuations in an optical lattice
• Classical ratchet effects in heterostructures with a lateral periodic potential
• Rectification and diffusion of self-propelled particles in a two-dimensional corrugated channel
• Vortex motion rectification in Josephson junction arrays with a ratchet potential
• Single-parameter pumping in graphene
• Stochastic pump effect and geometric phases in dissipative and stochastic systems
• Brownian Motion of Boomerang Colloidal Particles
• New aspects on Current enhancement in Brownian motors driven by non Gaussian noises
• Magnus-Induced Ratchet Effects for Skyrmions Interacting with Asymmetric Substrates
• On subdiffusive continuous time random walks with stochastic resetting
• Electrical Autonomous Brownian Gyrator
• Current and universal scaling in anomalous transport
• Exclusion processes on networks as models for cytoskeletal transport
• A statistical analysis of particle trajectories in living cells
• Demon-free quantum Brownian motors
• GPU accelerated Monte Carlo simulation of Brownian motors dynamics with CUDA
• Stochastic pumping of heat: Approaching the Carnot efficiency
• Quantum dynamics in strong fluctuating fields
• Ratchet effects induced by terahertz radiation in heterostructures with a lateral periodic potential
• Spontaneous Ratchet Effect in a Granular Gas
• Intra-cellular transport by single-headed kinesin KIF1A: effects of single-motor mechano-chemistry and steric interactions
• Tunable mass separation via negative mobility
• Inertial effects in B{ü}ttiker-Landauer Motor and Refrigerator at the Overdamped Limit
• Two-state theory of nonlinear Stochastic Resonance
• Ratchet transport and periodic structures in parameter space
• Directed motion for delta-kicked atoms with broken symmetries: comparison between theory and experiment
• Optimal Control of Overdamped Systems
• Brownian duet: A novel tale of thermodynamic efficiency
• Resonant activation in a nonadiabatically driven optical lattice
• Controlling the Ratchet Effect for Cold Atoms
• Thermodynamic formula for the cumulant generating function of time-averaged current
• Dynamical mechanisms of DC current generation in driven Hamiltonian systems
• Rectification of self-propelled particles by symmetric barriers
• Geometric friction directs cell migration
• Experimental Spin Ratchet
• Experimental control of transport resonances in a coherent quantum rocking ratchet
• Physics of muscle contraction
• Giant transversal particle diffusion in a longitudinal magnetic ratchet
• Crossed ratchet effects for magnetic domain wall motion
• Diffusion coefficient of a Brownian particle in equilibrium and nonequilibrium: Einstein model and beyond
• Dynamics and Separation of Circularly Moving Particles in Asymmetric Patterned Arrays
• Emergence and control of heat current from strict zero thermal bias
• Chiral Brownian heat pump
• Quantum optomechanical piston engines powered by heat
• Entropy production for mechanically or chemically driven biomolecules
• Time-Delayed Feedback control of a flashing ratchet
• Two simple models of classical heat pumps
• Collective vortex rectification effects in films with a periodic pinning array
• Stochastic Energetics for Non-Gaussian Processes
• Dynamics of matter-wave solitons in a ratchet potential
• Mixing and demixing of binary mixtures of polar chiral active particles
• Generic Quantum Ratchet Accelerator with Full Classical Chaos
• Integral Fluctuation Relations for Entropy Production at Stopping Times
• Internal mode mechanism for collective energy transport in extended systems
• Topological protection of multiparticle dissipative transport
• Effect of time delay on feedback control of a flashing ratchet
• Directed anomalous diffusion without a biased field: A ratchet accelerator
• Kinesin's backsteps under mechanical load
• Molecular motors transporting cargos in viscoelastic cytosol: how to beat subdiffusion with a power stroke?
• Heat conduction induced by non-Gaussian athermal fluctuations
• The charge shuttle as a nanomechanical ratchet
• Skyrmion ratchet propagation: Utilizing the skyrmion Hall effect in AC racetrack storage devices
• Chirality separation of mixed chiral microswimmers in a periodic channel
• Nonequilibrium dissipation-free transport in F1-ATPase and the thermodynamic role of asymmetric allosterism
• Vibrational mechanics in an optical lattice: controlling transport via potential renormalization
• Kinetics of a frictional granular motor
• Vibrational ratchets
• Heat Flow and Efficiency in a Microscopic Engine
• Ratchet effects in two-dimensional systems with a lateral periodic potential
• Experimental investigation of the ratchet effect in a two-dimensional electron system with broken spatial inversion symmetry
• Spontaneous Symmetry Breaking of Population between Two Dynamic Attractors in a Driven Atomic Trap: Ising-class Phase Transition
• Fractional Brownian motors and Stochastic Resonance
• Active Matter Ratchets with an External Drift
• Transport in a Levy ratchet: Group velocity and distribution spread
• Separation of suspended particles by arrays of obstacles in microfluidic devices
• Bidirectional Sorting of Flocking Particles in the Presence of Asymmetric Barriers
• Quantum state-dependent diffusion and multiplicative noise: a microscopic approach
• Confined Brownian ratchets
• Experimental Accessibility of Generalized Fluctuation-Dissipation Relations for Nonequilibrium Steady States
• Direct current driven by ac electric field in quantum wells
• Current reversals in a rocking ratchet: dynamical vs symmetry-breaking mechanisms
• A channel Brownian pump powered by an unbiased external force
• Brownian motion: a paradigm of soft matter and biological physics
• Quantum pumping in closed systems, adiabatic transport, and the Kubo formula
• Single-parameter quantum charge and spin pumping in armchair graphene nanoribbons
• Classical and quantum pumping in closed systems
• Quantum Smoluchowski equation: A systematic study
• From ballistic to diffusive behavior in periodic potentials
• Adaptive sampling of large deviations
• Theory of single-electron heat engines coupled to electromagnetic environments
• Modulating coherence resonance in non-excitable systems by time-delayed feedback
• Statistics of transition times, phase diffusion and synchronization in periodically driven bistable systems
• 3-junction SQUID rocking ratchet
• Signalling noise enhances chemotactic drift of E. coli
• Perspective on unconventional computing using magnetic skyrmions
• Reversible Ratchet Effects for Vortices in Conformal Pinning Arrays
• Caldeira--Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
• Forcing inertial Brownian motors: efficiency and negative differential mobility
• Directing Brownian motion on a periodic surface
• Langevin dynamics with dichotomous noise; direct simulation and applications
• Information and flux in a feedback controlled Brownian ratchet
• Giant diffusion and coherent transport in tilted periodic inhomogeneous systems
• Fluctuation-driven directed transport in the presence of Levy flights
• Transport of active ellipsoidal particles in ratchet potentials
• Two-State Migration of DNA in a structured Microchannel
• Stochastic slowdown in evolutionary processes
• Reversible Vector Ratchets for Skyrmion Systems
• Two-temperature Brownian dynamics of a particle in a confining potential
• Rate description of Fokker-Planck processes with time dependent parameters
• The Kardar-Parisi-Zhang equation in the weak noise limit: Pattern formation and upper critical dimension
• Subdiffusive Brownian ratchets rocked by a periodic force
• Anomalous diffusion in nonlinear oscillators with multiplicative noise
• Parrondo's game using a discrete-time quantum walk
• Oscillatory chiral flows in confined active fluids with obstacles
• Averaging and large deviation principles for fully-coupled piecewise deterministic Markov processes and applications to molecular motors
• Multi-band quantum ratchets
• Cooperative rectification in confined Brownian ratchets
• Discrete--time ratchets, the Fokker--Planck equation and Parrondo's paradox
• Quantum Suppression of Ratchet Rectification in a Brownian System Driven by a Biharmonic Force
• Thermodynamic cost of external control
• Current and efficiency enhancement in Brownian motors driven by non Gaussian noises
• Energetics of a simple microscopic heat engine
• Soliton ratchets in homogeneous nonlinear Klein-Gordon systems
• The ontology of temperature in nonequilibrium systems
• Symmetries shape the current in ratchets induced by a bi-harmonic force
• Hidden symmetries, instabilities, and current suppression in Brownian ratchets
• Directed transport driven by the transverse wall vibration
• Granular Brownian Motor
• Suppression of dissipation in Nb thin films with triangular antidot arrays by random removal of pinning sites
• Stochastic Resonance in Spatially Extended Systems: The Role of Far from Equilibrium Potentials
• Current control in a tilted washboard potential via time-delayed feedback
• Run-and-pause dynamics of cytoskeletal motor proteins
• A Biologically Inspired Ratchet Model of Two Coupled Brownian Motors
• Quantum diffusion in biased washboard potentials: strong friction limit
• Rocking ratchets in 2D Josephson networks: collective effects and current reversal
• Effective rates from thermodynamically consistent coarse-graining of models for molecular motors with probe particles
• A random walker on a ratchet potential: Effect of a non Gaussian noise
• Driving particle current through narrow channels using classical pump
• Mapping between dissipative and Hamiltonian systems
• Dwell time symmetry in random walks and molecular motors
• Closed-loop control strategy with improved current for a flashing ratchet
• Noise correlation-induced splitting of Kramers' escape rate from a metastable state
• Mechanical coupling in flashing ratchets
• Lévy Ratchet in a Weak Noise Limit: Theory and Simulation
• Molecular Motor of Double-Walled Carbon Nanotube Driven by Temperature Variation
• Entropic Ratchet transport of interacting active Brownian particles
• Near field propulsion forces from nonreciprocal media
• Current Reversals and Synchronization in Coupled Ratchets
• Extracting work from a single heat bath - A case study on Brownian particle under external magnetic field in presence of information
• Three and four current reversals versus temperature in correlation ratchets with a simple sawtooh potential
• Noise-induced Synchronization in Small World Network of Phase Oscillators
• Photogalvanic current in artificial asymmetric nanostructures
• Exact formula for currents in strongly pumped diffusive systems
• Temperature Resistant Optimal Ratchet Transport
• Absolute Transverse Mobility and Ratchet Effect on Periodic 2D Symmetric Substrates
• Singular features in noise-induced transport with dry friction
• Fluctuation Theorem for the flashing ratchet model of molecular motors
• Separation quality of a geometric ratchet
• Characterization of the material response in the granular ratcheting
• Information and maximum power in a feedback controlled Brownian ratchet
• Numerical simulation of transmission coefficient using c-number Langevin equation
• Energy and information flows in autonomous systems
• A minimal model of an autonomous thermal motor
• Demonstration of a controllable three-dimensional Brownian motor in symmetric potentials
• Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics
• Experimental realization of Feynman's ratchet
• Skyrmion Ratchet in Funnel Geometries
• Ratchet effect in spatially modulated bilayer graphene: Signature of hydrodynamic transport
• Quantum Kramers' equation for energy diffusion and barrier crossing dynamics in the low friction regime
• Diffusion of finite-size particles in confined geometries
• Josephson junction ratchet: effects of finite capacitances
• Brownian rectifiers in the presence of temporally asymmetric unbiased forces
• How Influenza's Spike Motor Works
• Rectification and Flux Reversals for Vortices Interacting with Triangular Traps
• Martingale theory for housekeeping heat
• Discrete soliton ratchets driven by biharmonic fields
• High-frequency nonlinear transport and photogalvanic effects in two-dimensional topological insulators
• Synchronous versus asynchronous transport of a paramagnetic particle in a modulated ratchet potential
• Parrondo's games as a discrete ratchet
• Modeling an efficient Brownian heat engine
• Minimal Brownian Ratchet: An Exactly Solvable Model
• Controllable plasma energy bands in a 1D crystal of fractional Josephson vortices
• Carnot cycle for an oscillator
• Activated escape over oscillating barriers: The case of many dimensions
• Twirling DNA Rings - Swimming Nanomotors Ready for a Kickstart
• Theory of frequency and phase synchronization in a rocked bistable stochastic system
• Phase synchronization in tilted deterministic ratchets
• Sorting of chiral active particles driven by rotary obstacles
• Transport of underdamped active particles in ratchet potentials
• Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise
• Non-equilibrium fluctuations in frictional granular motor: experiments and kinetic theory
• Quantum current in dissipative systems
• Thermal ratchet effect in confining geometries
• Noise-induced transition in a quantum system
• Coherent spin ratchets: A spin-orbit based quantum ratchet mechanism for spin-polarized currents in ballistic conductors
• Process interpretation of current entropic bounds
• Coherent ratchets in driven Bose-Einstein condensates
• A random walker on a ratchet
• Exploiting lattice potentials for sorting chiral particles
• Zeeman ratchets: pure spin current generation in mesoscopic conductors with non-uniform magnetic fields
• General no-go condition for stochastic pumping
• Solitons in overdamped Brownian dynamics
• Quantum phase space function formulation of reactive flux theory
• Szilard engines and information-based work extraction for active systems
• Vortex ratchet reversal in an asymmetric washboard pinning potential subject to combined dc and ac stimuli
• Directed Transport of Confined Brownian Particles with Torque
• White noise flashing Brownian pump
• Ratchet transport of interacting particles
• Anomalous transport of subdiffusing cargos by single kinesin motors: the role of mechanochemical coupling and anharmonicity of tether
• Lattice symmetries and the topological protected transport of colloidal particles
• Delay-induced transport in a rocking ratchet under feedback control
• Excluded volume causes integer and fractional plateaus in colloidal ratchet currents
• Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
• Effective Langevin equations for a polar tracer in an active bath
• Modeling and analyzing a photo-driven molecular motor system: Ratchet dynamics and non-linear optical spectra
• Enhancing nanoparticle diffusion on a unidirectional domain wall magnetic ratchet
• Optimal discrete control: minimizing dissipation in discretely driven nonequilibrium systems
• Traffic of single-headed motor proteins KIF1A: effects of lane changing
• Directed transport in a spatially periodic potential under periodic non-biased forcing
• Heat Fluctuations in Brownian Transducers
• Inefficiency of voting in Parrondo games
• Negative and Nonlinear Response in an Exactly Solved Dynamical Model of Particle Transport
• Steering the potential barriers: entropic to energetic
• Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs
• Quantum fluctuation theorems in the strong damping limit
• Hamiltonian ratchets with ultra-cold atoms
• Ratchet effect driven by Coulomb friction: the asymmetric Rayleigh piston
• Circuits and excitations to enable Brownian token-based computing with skyrmions
• Drift by Dichotomous Markov Noise
• Subdiffusive rocking ratchets in viscoelastic media: transport optimization and thermodynamic efficiency in overdamped regime
• Ratchet behavior in nonlinear Klein-Gordon systems with point-like inhomogeneities
• Symmetric Brownian motor
• Tunable interactions between paramagnetic colloidal particles driven in a modulated ratchet potential
• Nonequilibrium coupled Brownian phase oscillators
• Molecular machines operating on nanoscale: from classical to quantum
• Level 2.5 large deviations for continuous time Markov chains with time periodic rates
• Ratchet Effect in the Quantum Kicked Rotor and its Destruction by Dynamical Localization
• Dynamics of Magnus Dominated Particle Clusters, Collisions, Pinning and Ratchets
• Symmetries of the ratchet current
• Anomalous Behavior of the Diffusion Coefficient in Interacting Adsorbates
• Stochastic resonance between noise-sustained patterns
• Current and fluctuation in a two-state stochastic system under non-adiabatic periodic perturbation
• Flux reversal in a two-state symmetric optical thermal ratchet
• Stochastic resonance between dissipative structures in a bistable noise-sustained dynamics
• Ratcheting of driven attracting colloidal particles: Temporal density oscillations and current multiplicity
• Flashing subdiffusive ratchets in viscoelastic media
• Weak-noise limit of a piecewise-smooth stochastic differential equation
• Giant Photogalvanic Effect in Metamaterials Containing Non-Centrosymmetric Plasmonic Nanoparticles
• Optimal potentials for temperature ratchets
• Magnetic quantum ratchet effect in (Cd,Mn)Te- and CdTe-based quantum well structures with a lateral asymmetric superlattice
• Quasi-deterministic transport of Brownian particles in an oscillating periodic potential
• Effect of time delay on the onset of synchronization of the stochastic Kuramoto model
• Simultaneous polydirectional transport of colloidal bipeds
• Interaction-induced current-reversals in driven lattices
• Many-body quantum ratchet in a Bose-Einstein condensate
• Revisiting Feynman's ratchet with thermoelectric transport theory
• Collective fluctuations in networks of noisy components
• Stochastic control in microscopic nonequilibrium systems
• Vortex and translational currents due to broken time-space symmetries
• Transverse rectification of disorder-induced fluctuations in a driven system
• Directional fidelity of nanoscale motors and particles is limited by the second law of thermodynamics via a universal equality
• Autonomous Brownian gyrators: a study on gyrating characteristics
• Particle dynamics in a symmetrically driven underdamped inhomogeneous periodic potential system
• Particle diode: Rectification of interacting Brownian ratchets
• Reversible Transport of Interacting Brownian Ratchets
• Feedback-controlled transport in an interacting colloidal system
• Microscopic heat from the energetics of stochastic phenomena
• Noise-assisted classical adiabatic pumping in a symmetric periodic potential
• Deterministic Josephson Vortex Ratchet with a load
• Energy Transfer in a Molecular Motor in Kramers' Regime
• Lattice effects and current reversal in superconducting ratchets
• Two-dimensional rocking ratchet for cold atoms
• Current reversals in a rocking ratchet: the frequency domain
• Chaotic quantum ratchets and filters with cold atoms in optical lattices: properties of Floquet states
• Tunable ratchet effects for vortices pinned by periodic magnetic dipole arrays
• No-pumping theorem for many particle stochastic pumps
• Giant negative mobility of inertial particles caused by the periodic potential in steady laminar flows
• Equilibrium Theory for a Particle Pulled by a Moving Optical Trap
• Diffusion and Current of Brownian Particles in Tilted Piecewise Linear Potentials: Amplification and Coherence
• Rocking Subdiffusive Ratchets: Origin, Optimization and Efficiency
• Current reversal with type-I intermittency in deterministic inertia ratchets
• Deterministic ratchet from stationary light fields
• F1 rotary motor of ATP synthase is driven by the torsionally-asymmetric drive shaft
• Facilitated movement of inertial Brownian motors driven by a load under an asymmetric potential
• Mean escape time over a fluctuating barrier
• Enhanced diffusion and anomalous transport of magnetic colloids driven above a two-state flashing potential
• How a finite potential barrier decreases the mean first passage time
• Directing transport by polarized radiation in presence of chaos and dissipation
• A q-deformed logistic map and its implications
• Chemical Reaction Dynamics within Anisotropic Solvents in Time-Dependent Fields
• Brownian motor in a granular medium
• Simultaneous control of multi-species particle transport and segregation in driven lattices
• Transport reversal in a delayed feedback ratchet
• Cold atom realizations of Brownian motors
• The Persistence of Uphill Anomalous Transport in Inhomogeneous Media
• Unidirectional hopping transport of interacting particles on a finite chain
• Exact moments and re-entrant transitions in the inertial dynamics of active Brownian particles
• Thermal ratchet effects in ferrofluids
• Threshold feedback control for a collective flashing ratchet: threshold dependence
• Rocking feedback controlled ratchets
• Thermodynamics of adiabatic feedback control
• Current reversal in collective ratchets induced by lattice instability
• Charged Brownian Particles: Kramers and Smoluchowski Equations and the Hydrothermodynamical Picture
• On the stochastic pendulum with Ornstein-Uhlenbeck noise
• Transport and Diffusion Enhancement in Experimentally Realized Non-Gaussian Correlated Ratchets
• Controlling the Momentum Current of an Off-resonant Ratchet
• Net current generation in a 1D quantum ring at zero magnetic field
• Brownian molecular motors driven by rotation-translation coupling
• Photocurrent in nanostructures with asymmetric antidots
• Fokker-Planck equations for time-delayed systems via Markovian Embedding
• Resonantly-driven nanopores can serve as nanopumps
• Transverse ac Driven and Geometric Ratchet Effects for Vortices in Conformal Crystal Pinning Arrays
• Gaussian noise and the two-network frustrated Kuramoto model
• Noise rectification by a superconducting loop with two weak links
• Noise-induced quantum transport
• Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise
• Exact solution of a linear molecular motor model driven by two-step fluctuations and subject to protein friction
• The Goldbeter-Koshland switch in the first-order region and its response to dynamic disorder
• Analytical approach to soliton ratchets in asymmetric potentials
• The efficiency of the molecular motors
• Symmetry Relations for Trajectories of a Brownian Motor
• Phase space dynamics of overdamped quantum systems
• Perturbative analysis of coherent quantum ratchets in cold atom systems
• Kinesin as an electrostatic machine
• Rate description of Fokker-Planck processes with time-periodic parameters
• Granular transport in a horizontally vibrated sawtooth channel
• Beatings of ratchet current magneto-oscillations in GaN-based grating gate structures: manifestation of spin-orbit band splitting
• Efficiency and Current in a correlated ratchet
• Accumulating Particles at the Boundaries of a Laminar Flow
• The concept of entropic rectifier facing experiments
• Gallavotti-Cohen-Type symmetry related to cycle decompositions for Markov chains and biochemical applications
• Asymmetric transportation induced by thermal noise at the nanoscale
• Stochastic and Deterministic Vector Chromatography of Suspended Particles in 1D-Periodic Potentials
• Diffusion Enhancement in a Periodic Potential under High-Frequency Space-Dependent Forcing
• Classical open systems with nonlinear nonlocal dissipation and state-dependent diffusion: Dynamical responses and the Jarzynski equality
• Multiplicative cross-correlated noise induced escape rate from a metastable state
• Rectification of asymmetric surface vibrations with dry friction: an exactly solvable model
• Drift- or Fluctuation-Induced Ordering and Self-Organization in Driven Many-Particle Systems
• Soliton Ratchets Induced by Excitation of Internal Modes
• First-passage time theory of activated rate chemical processes in electronic molecular junctions
• Memory effects in nonlinear transport: kinetic equations and ratchet devices
• Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives
• Evidence of ratchet effect in nanowires of a conducting polymer
• A Semi-Grand Canonical Kinetic Monte Carlo study of Single-Walled Carbon Nanotubes growth
• Liquid transport generated by a flashing field-induced wettability ratchet
• Intrinsic Ratchets
• Circular and linear magnetic quantum ratchet effects in dual-grating-gate CdTe-based nanostructures
• Brownian refrigeration by hybrid tunnel junctions
• Thermodynamics of a stochastic twin elevator
• Measuring kinetic energy changes in the mesoscale with low acquisition rates
• Driven Ratchets for Cold Atoms
• Stochastic Energetics of Quantum Transport
• Feedback-induced oscillations in one-dimensional colloidal transport
• Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets
• Control of transport in higher dimensional systems via dynamical decoupling of degrees of freedom with quasiperiodic driving fields
• Irrationality and quasiperiodicity in driven nonlinear systems
• Directed transport and localization in phase-modulated driven lattices
• Noise induced currents and reliability of transport in frictional ratchets
• Waveform sampling using an adiabatically driven electron ratchet in a two-dimensional electron system
• Langevin dynamics with space-time periodic nonequilibrium forcing
• Stochastic pump of interacting particles
• Active Brownian motion with speed fluctuations in arbitrary dimensions: exact calculation of moments and dynamical crossovers
• Effects of hydrodynamic interactions on rectified transport of self-propelled particles
• Pseudo energy wells in active systems
• Directed transport born from chaos in asymmetric antidot structures
• Thermally Driven Imbibition and Drainage Induced by Terraced Nanostructures
• Global firing induced by network disorder in ensembles of active rotators
• Test of the fluctuation theorem for stochastic entropy production in a nonequilibrium steady state
• Tunable $\phi$ Josephson Junction ratchet
• A model for hand-over-hand motion of molecular motors
• A regular Hamiltonian halting ratchet for matter wave transport
• Motion by Stopping: Rectifying Brownian Motion of Non-spherical Particles
• Duality and fluctuation relations for statistics of currents on cyclic graphs
• Interaction of molecular motors can enhance their efficiency
• Directed chaos in a billiard chain with transversal magnetic field
• Energy transport between heat baths with oscillating temperatures
• A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
• Transverse ratchet effect and superconducting vortices: Simulation and experiment
• Ratchet transport for a chain of interacting charged particles
• Underdamped quantum ratchets
• Interacting particles in a periodically moving potential: Traveling wave and transport
• Directed deterministic classical transport: symmetry breaking and beyond
• Trapping mechanism in overdamped ratchets with quenched noise
• Using tensor network states for multi-particle Brownian ratchets
• Many-body Quantum Chaos and Entanglement in a Quantum Ratchet
• Transport properties of Brownian particles confined to a narrow channel by a periodic potential
• Relativistic graphene ratchet on semidisk Galton board
• Using Thermal Ratchet Mechanism to Achieve Net Motility in Magnetic Microswimmers
• Quantum ratchet transport with minimal dispersion rate
• Maximal fluctuations of confined actomyosin gels: dynamics of the cell nucleus
• Properties of tug-of-war model for cargo transport by molecular motors
• Directed Ratchet Transport in Granular Crystals
• Effect of dynamic and static friction on an asymmetric granular piston
• Metastable magnetic domain wall dynamics
• Interaction Induced Directed Transport in AC-Driven Periodic Potentials
• Optimal finite-time heat engines under constrained control
• Ratchet effect in an underdamped periodic potential and its characterisation
• Stochastic thermodynamics of a piezoelectric energy harvester model
• Transport in polymer membranes beyond linear response: Controlling permselectivity by the driving force
• Transport and Energetics of Bacterial Rectification
• Optimal operation of feedback flashing ratchets
• Currents and flux-inversion in photokinetic active particles
• Pumping single-file colloids: Absence of current reversal
• Collective effects in intra-cellular molecular motor transport: coordination, cooperation and competetion
• Dispersionless motion in a driven periodic potential
• Rectification of Twitching bacteria through narrow channels: A numerical simulations study
• Motional dispersions and ratchet effect in inertial systems
• Scaling limits for the generalized Langevin equation
• Fluctuations in Polymer Translocation
• Collective drifts in vibrated granular packings: the interplay of friction and structure
• Ratchet based ion pumps for selective ion separations
• Controlled transport of solitons and bubbles using external perturbations
• Hidden heat transfer in equilibrium states implies directed motion in nonequilibrium states
• Directed transport driven by Lévy flights coexisting with subdiffusion
• Thermodynamic Uncertainty Relations for Steady-State Thermodynamics
• Nonequilibrium stationary states with ratchet effect
• Formation of density waves via interface conversion of ballistic and diffusive motion
• Quantum Parameter Space of Dissipative Directed Transport
• Dissipative collapse of the adiabatic piston
• Autonomous free-energy transducer working under thermal fluctuations
• Directed motion generated by heat bath nonlinearly driven by external noise
• Scaling and crossovers in activated escape near a bifurcation point
• Brownian motion approach to the ideal gas of relativistic particles
• Low temperature behavior of nonequilibrium multilevel systems
• Particle current in symmetric exclusion process with time-dependent hopping rates
• Inertial hydrodynamic ratchet: Rectification of colloidal flow in tubes of variable diameter
• Computing time-periodic steady-state currents via the time evolution of tensor network states
• Transport and dynamical properties of inertial ratchets
• Adversarial decision strategies in multiple network phased oscillators: the Blue-Green-Red Kuramoto-Sakaguchi model
• Taming Polar Active Matter with Moving Substrates: Directed Transport and Counterpropagating Macrobands
• Reversals of chance in paradoxical games
• Unification and new extensions of the no-pumping theorems of stochastic pumps
• The Ratchet effect in an ageing glass
• Comment on "Soliton ratchets induced by excitation of internal modes"
• The probability distribution of Brownian motion in periodic potentials
• Ratchet universality in the presence of thermal noise
• Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise
• Multimodal stationary states in symmetric single-well potentials driven by Cauchy noise
• Two-state flashing molecular pump
• Ratchet Effect and Nonlinear Transport for Particles on Random Substrates with Crossed ac Drives
• Rectifying the thermal Brownian motion of three-dimensional asymmetric objects
• Single-particle model for a granular ratchet
• Giant acceleration in slow-fast space-periodic Hamiltonian systems
• Quantum ratchet in disordered quantum walk
• Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows
• Energetics of critical oscillators in active bacterial baths
• Paradoxical nature of negative mobility in the weak dissipation regime
• No thermalization without correlations
• Autonomous Ratcheting by Stochastic Resetting
• General approach for dealing with dynamical systems with spatiotemporal periodicities
• Proposal of a realistic stochastic rotor engine based on electron shuttling
• Energy pumping in electrical circuits under avalanche noise
• Influence of the lattice topography on a three-dimensional, controllable Brownian motor
• Winning in Sequential Parrondo Games by Players with Short-Term Memory
• Self-propulsion with speed and orientation fluctuation: exact computation of moments and dynamical bistabilities in displacement
• Dynamics stabilization and transport coherency in a rocking ratchet for cold atoms
• Novel structure formation of a phase separating colloidal fluid in a ratchet potential
• Characterisation of a three-dimensional Brownian motor in optical lattices
• Kinetic analysis of a chiral granular motor
• Energy Landscape Design Principle for Optimal Energy Harnessing by Catalytic Molecular Machines
• Positive and Negative Drag, Dynamic Phases, and Commensurability in Coupled One-Dimensional Channels of Particles with Yukawa Interactions
• Net motion induced by nonantiperiodic vibratory or electrophoretic excitations with zero time average
• Directed Motion of Liquid Crystal Skyrmions With Oscillating Fields
• Transport of Brownian particles in a narrow, slowly-varying serpentine channel
• Phase Transitions in Brownian Pumps
• Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach
• Current inversion in a periodically driven two-dimensional Brownian ratchet
• Dimensional coupling induced current reversal in two-dimensional driven lattices
• Duality Relation for Quantum Ratchets
• Optimization of soliton ratchets in inhomogeneous sine-Gordon systems
• Entropy production and rectification efficiency in colloids transport along a pulsating channel
• Particle entrapment as a feedback effect
• Unlocking the potential of information flow: Maximizing free-energy transduction in a model of an autonomous rotary molecular motor
• Rectified motion in an asymmetric channel: the role of hydrodynamic interactions with walls
• Rectification of energy and motion in non-equilibrium parity violating metamaterials
• Stochastic resonance in bistable systems with nonlinear dissipation and multiplicative noise: A microscopic approach
• Transport and diffusion properties of Brownian particles powered by a rotating wheel
• Interacting molecular motors: Efficiency and work fluctuations
• Asymptotic theory of quasiperiodically driven quantum systems
• Current reversal and exclusion processes with history-dependent random walks
• Gaussian white noise as a resource for microscopic engines
• Correspondence behavior of classical and quantum dissipative directed transport via thermal noise
• Simple model for transport phenomena : Microscopic construction of Maxwell Demon like engine
• Granular Motor in the Non-Brownian Limit
• Random acceleration process on finite intervals under stochastic restarting
• Force-Free and Autonomous Active Brownian Ratchets
• Optimizing thermally affected ratchet currents using periodic perturbations
• Pendulum Leptogenesis
• Cooperative surmounting of bottlenecks
• Lissajous rocking ratchet
• Capacitively coupled nano conductors: Ratchet currents and exchange fluctuation relations
• On the Lubensky-Nelson model of polymer translocation through nanopores
• On the environmental stability of quantum chaotic ratchets
• Orbital photogalvanic effects in quantum-confined structures
• Proton transport and torque generation in rotary biomotors
• Directed transport of two interacting particles in a washboard potential
• Stochastic energetics of a Brownian motor and refrigerator driven by non-uniform temperature
• Detection of Tiny Mechanical Motion by Means of the Ratchet Effect
• Collective Current Rectification
• Physics at the FQMT'04 conference
• Directed transport in periodically rocked random sawtooth potentials
• Firing Rate of Noisy Integrate-and-fire Neurons with Synaptic Current Dynamics
• Variational Perturbation Theory for Fokker-Planck Equation with Nonlinear Drift
• Force generation in small ensembles of Brownian motors
• Optimal driving waveform for overdamped, adiabatic rocking ratchets
• Impact of rough potentials in rocked ratchet performance
• YBa${}_2$Cu${}_3$O${}_7$ Josephson diode operating as a high-efficiency ratchet
• Skyrmion Pinball and Directed Motion on Obstacle Arrays
• Non-sinusoidal current and current reversals in a gating ratchet
• Inhomogeneous soliton ratchets under two ac forces
• Kramers problem for a dimer: effect of noise correlations
• Saltatory drift in a randomly driven two-wave potential
• From a feedback-controlled demon to an information ratchet in a double quantum dot
• Mechanochemical Active Ratchet
• Time dependent current in a nonstationary environment: A microscopic approach
• Enhanced dispersion in an oscillating array of harmonic traps
• Molecular Motors Interacting with Their Own Tracks
• Experimental measurement of efficiency and transport coherence of a cold atom Brownian motor in optical lattices
• Freezing, accelerating and slowing directed currents in real time with superimposed driven lattices
• Carnot, Stirling, Ericsson stochastic heat engines: Efficiency at maximum power
• Temperature measurement from perturbations
• Collective Dynamics and Defect Generation for Wigner Crystal Ratchets
• Optimal ratchet current for elastically interacting particles
• Reorganization of a 2D disordered granular medium due to a small local cyclic perturbation
• Quantum ratchet control - harvesting on Landau-Zener transitions
• Drift induced by dissipation
• Numerical solutions of Fokker-Planck equations with drift-admitting jumps
• Persistent random walk on a one-dimensional lattice with random asymmetric transmittances
• Out-of-equilibrium Frenkel-Kontorova model
• Universal asymptotic behavior in nonlinear systems driven by a two-frequency forcing
• Quantum pumping and dissipation in closed systems
• Protein motors induced enhanced diffusion in intracellular transport
• Diffusion in Flashing Periodic Potentials
• Collective Effects in Models for Interacting Molecular Motors and Motor-Microtubule Mixtures
• Fluctuation Theorem in Rachet System
• Role of interactions in ferrofluid thermal ratchets
• Chiral Edge Currents for ac Driven Skyrmions in Confined Pinning Geometries
• Peculiarities of escape kinetics in the presence of athermal noises
• Photovoltage in curved 1D systems
• Aspects of quantum cooling in electron and atom systems
• Universal expression for adiabatic pumping in terms of non-equilibrium steady states
• Enhanced thermodynamic efficiency in time asymmetric ratchets
• Synchronised firing induced by network dynamics in excitable systems
• Stochastic ratcheting of two dimensional colloids : Directed current and dynamical transitions
• AC field induced quantum rectification effect in tunnel junctions
• Optimal rectification without forward-current suppression by biological molecular motor
• A Tight-Binding Approach to Overdamped Brownian Motion on a Multidimensional Tilted Periodic Potential
• Paradoxical non-linear response of a Brownian particle
• Levy ratchets with dichotomic random flashing
• Terahertz ratchet in graphene 2D metamaterial formed by a patterned gate with an antidot arrayd
• Influence of substrate potential shape on the dynamics of a sliding lubricant chain
• Molecular motors: design, mechanism and control
• Local evolution equations for non-Markovian processes
• Correlation in the velocity of a Brownian particle induced by frictional anisotropy and magnetic field
• Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity
• Reentrant condensation transition in a model of driven scalar active matter with diffusivity edge
• Thermal Fluctuation Statistics in a Molecular Motor Described by a Multidimensional Master Equation
• Cooperative dynamics in two-component out-of-equilibrium systems: Molecular "spinning tops"
• Low-temperature quantum fluctuations in overdamped ratchets
• Asymmetric ac fluxon depinning in a Josephson junction array: A highly discrete limit
• Noise-induced rectification in out-of-equilibrium structures
• Coherent Quantum Ratchets Driven by Tunnel Oscillations
• Driven anisotropic diffusion at boundaries: noise rectification and particle sorting
• Regular and chaotic transport of discrete solitons in asymmetric potentials
• Suppression of thermally activated escape by heating
• Emergent motion of condensates in mass-transport models
• Cytoskeleton and Cell Motility
• Self-tuning of threshold for a two-state system
• External field-induced dynamics of a charged particle on a closed helix
• Energy Flow Puzzle of Soliton Ratchets
• Numerical Methods for Computing Effective Transport Properties of Flashing Brownian Motors
• Quantum Ratchets at High Temperatures
• Heat pump driven by the shot noise of a tunnel contact
• Classical to quantum correspondence in dissipative directed transport
• Nonequilibrium Transport Characteristics of substances in a Rough Potential Field
• Stochastic Stokes' drift with inertia
• Thermal generation of shift electric current
• Nonequilibrium interactions between two quantum circuits
• Active and Passive Transport of Cargo in a Corrugated Channel: A Lattice Model Study
• Fast cooling for a system of stochastic oscillators
• An oriented process induced by dynamically regulated energy barriers
• Transport of Brownian particles confined to a weakly corrugated channel
• Additivity of multiple heat reservoirs in Langevin equation
• Diffusion Enhancement of Brownian Motors Revealed by a Solvable Model
• Terahertz spin ratchet effect in magnetic metamaterials
• Giant coherence in driven systems
• Directed transport in a classical lattice with a high-frequency driving
• Controlling mobility via rapidly oscillating time-periodic stimulus
• Breaking time-reversal symmetry for ratchet models of molecular machines
• Quantum duets working as autonomous thermal motors
• Flux reversal in a simple random walk model on a fluctuating symmetric lattice
• Directed transport in a ratchet with internal and chemical freedoms
• Quantum Brownian motion in ratchet potentials: duality relation and its consequences
• Symmetric exclusion processes on a ring with moving defects
• Equilibration and symmetry breaking in vibrated granular systems
• Thermal gas rectification using a sawtooth channel
• Current reversal in interacting colloids under time-periodic drive
• Information in feedback ratchets
• Stochastic Dynamics of Electrical Membrane with Voltage-Dependent Ion Channel Fluctuations
• Rectification of spatial disorder
• Noise driven current reversal and stabilisation in the tilted ratchet potential subject to tempered stable Lévy noise
• Active Matter on Asymmetric Substrates
• Directed transport with real-time steering and drifts along pre-designed paths using a Brownian motor
• Reluctance of a neutral nanoparticle to enter a charged pore
• Probability distribution function for systems driven by superheavy-tailed noise
• Interacting Particles in Disordered Flashing Ratchets
• Resonant phenomena in extended chaotic systems subject to external noise: the Lorenz'96 model case
• Control of diffusion of nano-particles in an optical vortex lattice
• Ratchet effect on a relativistic particle driven by external forces
• Transport phenomena in the asymmetric quantum multibaker map
• Weak stochastic ratchets and dynamic localization in measurement-induced quantum trajectories
• Optimal protocol for a collective flashing ratchet
• Directed motion of domain walls in biaxial ferromagnets under the influence of periodic external magnetic fields
• Stoke's efficiency and its stochastic properties
• Breaking the symmetry of a Brownian motor with symmetric potentials
• Ratchet Model of Baryogenesis
• Dynamical stability of the one-dimensional rigid Brownian rotator: The role of the rotator's spatial size and shape
• Intrinsic ratchets: A Hamiltonian approach
• Directed motion of doublons and holes in periodically driven Mott insulators
• Parrondo games as disordered systems
• Stationary states for underdamped anharmonic oscillators driven by Cauchy noise
• Non-equilibrium Theoretical Framework and Universal Design Principles of Oscillation-Driven Catalysis
• Ballistic Transport at Uniform Temperature
• Quantum refrigeration powered by noise in a superconducting circuit
• Ratchet-mediated resetting: Current, efficiency, and exact solution
• Phonon thermal Hall as a lattice Aharonov-Bohm effect
• Nonequilibrium phenomena in adjacent electrically isolated nanostructures
• Glassy Ratchets for Collectively Interacting Particles
• A dynamical model for Brownian molecular motors driven by inelastic electron tunneling
• Breaking of general rotational symmetries by multi-dimensional classical ratchets
• Efficiency and Fluctuation in Tight-Coupling Model of Molecular Motor
• Rotational ratchets with dipolar interactions
• Waiting time distributions in hybrid models of motor-bead assays: A concept and tool for inference
• Non-equilibrium steady state and induced currents of a mesoscopically-glassy system: interplay of resistor-network theory and Sinai physics
• Underdamped, anomalous kinetics in double-well potentials
• Thermal noise suppression: how much does it cost?
• Performance Optimization in Two-dimensional Brownian Rotary Ratchet Models
• Layered Chaos in Mean-field and Quantum Many-body Dynamics
• Noise induced oscillations in non-equilibrium steady state systems
• Generic shape of multichromatic resonance peaks
• Invited review: Fluctuation-induced transport. From the very small to the very large scales
• Observation of stochastic resonance in directed propagation of cold atoms
• Rate in Template-directed Polymer Synthesis
• Two network Kuramoto-Sakaguchi model under tempered stable Lévy noise
• Deep reinforcement learning for feedback control in a collective flashing ratchet
• Asymmetric Transmission Through a Classical Analogue of the Aharonov-Bohm Ring
• Inertial frictional ratchets and their load bearing efficiencies
• Model $I$--$V$ curves and figures of merit of underdamped deterministic Josephson ratchets
• Heat flux direction controlled by power-law oscillators under non-Gaussian fluctuations
• Rotational transport via spontaneous symmetry breaking in vibrated disk packings
• Energetics of the single-well undamped stochastic oscillators
• Engineering Ratchet-Based Particle Separation via Shortcuts to Isothermality
• Destructive effect of fluctuations on the performance of a Brownian gyrator
• Local detailed balance for active particle models
• Bounds and phase diagram of efficiency at maximum power for tight-coupling molecular motors
• Collective Coordinates Theory for Discrete Soliton Ratchets in the sine-Gordon Model
• Nonadiabatic pumping in classical and quantum chaotic scatterers
• Avoided crossing and sub-Fourier sensitivity in driven quantum systems
• Symmetry breaking for ratchet transport in presence of interactions and magnetic field
• Out-of-equilibrium one-dimensional disordered dipole chain
• Pumping angular momentum by driven chaotic scattering
• Phase dependent vectorial current control in symmetric noisy optical ratchets
• Performance Estimation for Two-Dimensional Brownian Rotary Ratchet Systems
• Classical and quantum chaotic angular-momentum pumps
• Generalization of the classical Kramers rate for non-Markovian open systems out of equilibrium
• Resonant current in coupled inertial Brownian particles with delayed-feedback control
• Nanoswimmers in a ratchet potential: Effects of a transverse rocking force
• Directed transport as a mechanism for protein folding in vivo
• Can a periodically driven particle resist laser cooling and noise?
• Energy rectification in active gyroscopic networks under time-periodic modulations
• Entropy production, energy loss and currents in adiabatically rocked thermal ratchets
• Inference of Time-Reversal Asymmetry from Time Series in a Piezoelectric Energy Harvester
• Disordering effects of colour in a system of coupled Brownian motors: phase diagram and anomalous-to-normal hysteresis transition
• Recycling Parrondo games
• The transport phenomenon of inertia Brownian particles in a periodic potential with non-Gaussian noise
• Persistent current by a static non-Hermitian ratchet
• Optically-induced Umklapp shift currents in striped cuprates
• Graphene under bichromatic driving: Commensurability and spatio-temporal symmetries
• Discrete kinetic models for molecular motors: asymptotic velocity and gaussian fluctuations
• Quantum and statistical mechanics in open systems: theory and examples
• Tailored particle current in an optical lattice by a weak time-symmetric harmonic potential
• Brownian motors: Joint effect of non-Gaussian noise and time asymmetric forcing
• Ratchet, pawl and spring Brownian motor
• Fluctuation theorems for discrete kinetic models of molecular motors
• Behavior of the current in the asymmetric quantum multibaker map
• Fluctuation-induced drift in a gravitationally tilted optical lattice
• Efficiency of Energy Transduction in a Molecular Chemical Engine
• Decay to the nonequilibrium steady state of the thermal diffusion in a tilted periodic potential
• Two-state Markovian theory of input-output frequency and phase synchronization
• Fractional positional jumps in stochastic systems with tilted periodic double-well potentials
• Maximum power Stirling-like heat engine with a harmonically confined Brownian particle
• Spontaneous continuous orbital motion of a pair of nanoparticles levitated in air
• Brownian diode: Molecular motor based on a semi-permeable Brownian particle with internal potential drop
• Controllable 3D atomic Brownian motor in optical lattices
• Heat Transport Hysteresis Generated through Frequency Switching of a Time-Dependent Temperature Gradient
• Topological quantization of the flow of magnetic skyrmions driven by a ratchet-like potential under thermal fluctuations
• Single-layer metal-on-metal islands driven by strong time-dependent forces
• Approximating microswimmer dynamics by active Brownian motion: Energetics and efficiency
• A Reversibility Parameter for a Markovian Stepper
• Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices
• The mean velocity of two-state models of molecular motor
• Sustained rotation in a vibrated disk with asymmetric supports
• A nanoporous capacitive electrochemical ratchet for continuous ion separations
• Inhomogeneous quantum diffusion and decay of a meta-stable state
• A parity breaking Ising chain Hamiltonian as a Brownian motor
• Noiseless limit of a ferrofluid ratchet
• The coupled dynamics of two particles with different limit sets
• Spectral Magnetization Ratchets with Discrete Time Quantum Walks
• Controlling vortical motion of particles in two-dimensional driven superlattices
• Thermal effects on chaotic directed transport
• Fluctuation-dissipation relations far from equilibrium
• Derivation of some translation-invariant Lindblad equations for a quantum Brownian particle
• Ground state, vibrational spectrum and deterministic transport of a chain of charged particles
• On the bulk velocity of Brownian ratchets
• Deterministic and randomized motions in single-well potentials
• Controlling transport of underdamped particles in two-dimensional driven Bravais lattices
• Motility and Energetics of Randomly Flashing Ratchets
• Complete analytic solution to Brownian unicycle dynamics
• The validity of the no-pumping theorem in systems with finite-range interactions between particles
• Inertial Lévy flights in bounded domains
• Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times
• Machines of life: catalogue, stochastic process modeling, probabilistic reverse engineering and the PIs- from Aristotle to Alberts
• Ratchet transport with subdiffusion
• Self-organization without heat: the geometric ratchet effect
• A multiple-timing analysis of temporal ratcheting
• Go-and-Back method: Effective estimation of the hidden motion of proteins from single-molecule time series
• Energetics of a Microscopic Feynman Ratchet
• Self-induced spontaneous transport of water molecules through a symmetrical nanochannel by ratchetlike mechanism
• Single-file transport of binary hard-sphere mixtures through periodic potentials
• Chaotic and ballistic dynamics in time-driven quasiperiodic lattices
• Magnetic Field Effects and Transverse Ratchets in Charge Lattices Coupled to Asymmetric Substrates
• Markovian description of a wide class of feedback-controlled systems: Application to the feedback flashing ratchet
• Towards neural reinforcement learning for large deviations in nonequilibrium systems with memory
• Could the EPR correlation be in superconducting structures? Possibility of experimental verification
• Energy-Efficient Pseudo-Ratchet for Brownian Computers through One-Dimensional Quantum Brownian Motion
• Inertia Tames Fluctuations in Autonomous Stationary Heat Engines
• Crossover dynamics and non-Gaussian fluctuations in inertial active chains
• Dynamics of Aligning Active Matter: Mapping to a Schrödinger Equation and Exact Diagonalization
• A granular Büttiker-Landauer motor
• Ratchet effect and jamming in dense mixtures of active and passive colloids in narrow pores
• Jamming of active particles in narrow pores: Implications for ratchet effect and diffusion coefficient
• Neuromorphic heat transport effects in a molecular junction
• Stochastic Model for a Piezoelectric Energy Harvester Driven by Broadband Vibrations
• Stochastic Stokes' drift of a flexible dumbbell
• Universal patterns in multifrequency-driven dissipative systems
• Physics of free climbing
• Vortex ratchet
• Microwave Rectificatin of the Current at the Metal-Metal Junction for Dilute 2D Metals
• Descending from infinity: Convergence of tailed distributions
• Chaos in Kicked Ratchets
• Dynamics of coupled oscillator systems in presence of a local potential
• Energetics and efficiency of a molecular motor model
• Critical Phenomena and Diffusion in Complex Systems
• Nonhermitian adiabatic perturbation theory of topological quantization of the average velocity of a magnetic skyrmion under thermal fluctuations
• Structure-dynamics relationship in ratcheted colloids: Resonance melting, dislocations, and defect clusters
• Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit
• A chemically driven fluctuating ratchet model for actomyosin interaction
• Ratchet Hall Effect in Fluctuating Superconductors
• Fluctuations, Responses and Energetics of Molecular Motors
• Theory of Seebeck ratchet in noncentrosymmetric electron-phonon coupled system
• Stochastic resonance of rotating particles in turbulence
• Stochastic models of classical particle pumps : Density dependence of directed current
• Autonomous Brownian motor driven by nonadiabatic variation of internal parameters
• Rotation-translation coupling of a double-headed brownian motor in a traveling-wave potential
• Directed motion and useful work from an isotropic nonequilibrium distribution
• Markov Process of Muscle Motors
• Quantum ratchet with Lindblad rate equations
• Directed transport in equilibrium
• The tilted flashing Brownian ratchet
• Diffusion and transport in locally disordered driven lattices
• Directed current in quasi-adiabatically ac-driven nonlinear systems
• Reduced description method in the kinetic theory of Brownian motion with active fluctuations
• Thermally induced directed currents in hard rod systems
• Punchets: nonlinear transport in Hamiltonian pump-ratchet hybrids
• Interplay of noise induced stability and stochastic resetting
• A Multiscale Approach to Brownian Motors
• Discontinuous transitions in globally coupled potential systems with additive noise
• Absolute negative mobility in evolution
• Deterministic transport of particles in a micro-pump
• Reliability of fluctuation-induced transport in a Maxwell-demon-type engine
• Anisotropic thermalization propelled motor
• Suppression of oscillations by Levy noise
• Volume exclusion and elasticity driven directional transport: an alternative model for bacterium motility
• Deterministic force-free resonant activation
• On mathematical foundation of the Brownian motor theory
• Fundamental and Real-World Challenges in Economics
• Basis dependence of eigenstate thermalization
• Diffusive Transport in Periodic Potentials: Underdamped Dynamics
• Noise-based communication and computing
• Boundary-Induced Drift and Negative Mobility in Constrained Stochastic Systems
• Multi player Parrondo games with rigid coupling
• Optimal mass transport over bridges
• Dichotomous Markov noise: Exact results for out-of-equilibrium systems. A review