Fluctuation Theorem for the flashing ratchet model of molecular motors

Abstract

Molecular motors convert chemical energy derived from the hydrolysis of ATP into mechanical energy. A well-studied model of a molecular motor is the flashing ratchet model. We show that this model exhibits a fluctuation relation known as the Gallavotti-Cohen symmetry. Our study highlights the fact that the symmetry is present only if the chemical and mechanical degrees of freedom are both included in the description.

5 pages, 4 figures

References in corpus (6)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Fluctuation relations and coarse-graining
• Fluctuation theorem and large deviation function for a solvable model of a molecular motor
• Large deviation function for entropy production in driven one-dimensional systems
• Entropy production for mechanically or chemically driven biomolecules

Cited by in corpus (25)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Estimating dissipation from single stationary trajectories
• Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems
• Stochastic thermodynamics of active Brownian particles
• Active Brownian particles: Entropy production and fluctuation-response
• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Entropy production and work fluctuation relations for a single particle in active bath
• Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
• Large deviation function for the entropy production: Optimal trajectory and role of fluctuations
• Large-deviation theory for a Brownian particle on a ring: a WKB approach
• Extreme fluctuations of active Brownian motion
• Mechanochemical fluctuation theorem and thermodynamics of self-phoretic motors
• Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
• Fine-structured large deviations and the fluctuation theorem: Molecular motors and beyond
• Measuring kinetic energy changes in the mesoscale with low acquisition rates
• Entropy production by active particles: Coupling of odd and even functions of velocity
• Counting statistics and microreversibility in stochastic models of transistors
• Thermodynamic inference based on coarse-grained data or noisy measurements
• Partial entropy production in heat transport
• Random paths and current fluctuations in nonequilibrium statistical mechanics
• Breaking time-reversal symmetry for ratchet models of molecular machines
• Entropy production for partially observed harmonic systems
• Full Counting Statistics and Fluctuation Theorem for the Currents in the Discrete Model of Feynman's Ratchet
• Fluctuation theorems for discrete kinetic models of molecular motors