Thermal ratchet effect in confining geometries
arXiv:1702.00488 · doi:10.3390/e19040119
Abstract
Stochastic model of the Feynman-Smoluchowski ratchet is proposed and solved using generalization of the Fick-Jacobs theory. The theory fully captures nonlinear response of the ratchet to the difference of heat bath temperatures. The ratchet performance is discussed using the mean velocity, the average heat flow between the two heat reservoirs and the figure of merit, which quantifies energetic cost for attaining a certain mean velocity. Limits of the theory are tested comparing its predictions to numerics. We also demonstrate connection between the ratchet effect emerging in the model and rotations of the probability current and explain direction of the mean velocity using simple discrete analogue of the model.
References in corpus (37)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Brownian motors: noisy transport far from equilibrium
- Steady State Thermodynamics of Langevin Systems
- Kinetic Equations for Diffusion in the Presence of Entropic Barriers
- Classical and Quantum Fluctuation Theorems for Heat Exchange
- A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
- Entropic Splitter for Particle Separation
- On the heat flux and entropy produced by thermal fluctuations
- Work fluctuations for a Brownian particle between two thermostats
- Entropic particle transport: higher order corrections to the Fick-Jacobs diffusion equation
- Feynman's ratchet and pawl: an exactly solvable model
- An expression for stationary distribution in nonequilibrium steady state
- Two-temperature Langevin dynamics in a parabolic potential
- Hydrodynamically enforced entropic trapping of Brownian particles
- Maximum efficiency of steady-state heat engines at arbitrary power
- Confined Brownian ratchets
- Entropy and Nonlinear Nonequilibrium Thermodynamic Relation for Heat Conducting Steady States
- Biased Brownian motion in extreme corrugated tubes
- Diffusion of finite-size particles in channels with random walls
- Cooperative rectification in confined Brownian ratchets
- Bound particle coupled to two thermostats
- A heat pump at a molecular scale controlled by a mechanical force
- Effective one-dimensional description of confined diffusion biased by a transverse gravitational force
- Entropic transport - A test bed for the Fick-Jacobs approximation
- Entropically-induced asymmetric passage times of charged tracers across corrugated channels
- Non-monotonous polymer translocation time across corrugated channels: comparison between Fick-Jacobs approximation and numerical simulations
- Steering the potential barriers: entropic to energetic
- Heat Fluctuations in Brownian Transducers
- Symmetries of the ratchet current
- Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs
- How entropy and hydrodynamics cooperate in rectifying particle transport
- Impact of inertia on biased Brownian transport in confined geometries
- Transport properties of Brownian particles confined to a narrow channel by a periodic potential
- Hidden heat transfer in equilibrium states implies directed motion in nonequilibrium states
- Inertial hydrodynamic ratchet: Rectification of colloidal flow in tubes of variable diameter
- Transport of Brownian particles in a narrow, slowly-varying serpentine channel
- An oriented process induced by dynamically regulated energy barriers
Cited by in corpus (15)
- Active Brownian Heat Engines
- Physically consistent numerical solver for time-dependent Fokker-Planck equations
- Fluctuations in heat engines
- Two-temperature Brownian dynamics of a particle in a confining potential
- A minimal model of an autonomous thermal motor
- Szilard engines and information-based work extraction for active systems
- Correlations in multithermostat Brownian systems with Lorentz force
- Autonomous Brownian gyrators: a study on gyrating characteristics
- Energetics of a driven Brownian harmonic oscillator
- First-passage time theory of activated rate chemical processes in electronic molecular junctions
- Entropy production and rectification efficiency in colloids transport along a pulsating channel
- Nonequilibrium Phenomena in Confined Systems
- Storage of energy in constrained non-equilibrium systems
- Thermal gas rectification using a sawtooth channel
- Brownian magneto-gyrator as a tunable microengine