Efficiency of molecular machines with continuous phase space

Abstract

We consider a molecular machine described as a Brownian particle diffusing in a tilted periodic potential. We evaluate the absorbed and released power of the machine as a function of the applied molecular and chemical forces, by using the fact that the times for completing a cycle in the forward and the backward direction have the same distribution, and that the ratio of the corresponding splitting probabilities can be simply expressed as a function of the applied force. We explicitly evaluate the efficiency at maximum power for a simple sawtooth potential. We also obtain the efficiency at maximum power for a broad class of 2-D models of a Brownian machine and find that loosely coupled machines operate with a smaller efficiency at maximum power than their strongly coupled counterparts.

To appear in EPL

References in corpus (4)

• Universality of efficiency at maximum power
• Efficiency of autonomous soft nano-machines at maximum power
• Efficiency of molecular motors at maximum power
• Extracting chemical energy by growing disorder: Efficiency at maximum power

Cited by in corpus (33)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Universal bound on the efficiency of molecular motors
• Theoretical Perspectives on Biological Machines
• Efficiency at maximum power of interacting molecular machines
• Charging assisted by thermalization
• Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
• Waiting for rare entropic fluctuations
• Effective rates from thermodynamically consistent coarse-graining of models for molecular motors with probe particles
• A minimal model of an autonomous thermal motor
• Energy and information flows in autonomous systems
• Efficiency at maximum power of a chemical engine
• Efficiency at maximum power for classical particle transport
• Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
• Molecular machines operating on nanoscale: from classical to quantum
• Nonequilibrium Energy Transduction in Stochastic Strongly Coupled Rotary Motors
• Energy Transfer in a Molecular Motor in Kramers' Regime
• Stochastic thermodynamics in many-particle systems
• Maximum power operation of interacting molecular motors
• Synchronization and enhanced catalysis of mechanically coupled enzymes
• Flow of Energy and Information in Molecular Machines
• Design principles and optimal performance for molecular motors under realistic constraints
• Efficiency fluctuations in cyclic machines
• Efficiency at maximum power of motor traffic on networks
• Collective synchronization of dissipatively-coupled noise-activated processes
• Unlocking the potential of information flow: Maximizing free-energy transduction in a model of an autonomous rotary molecular motor
• Entropy-generated power and its efficiency
• Drift induced by dissipation
• Thermal Fluctuation Statistics in a Molecular Motor Described by a Multidimensional Master Equation
• A Tight-Binding Approach to Overdamped Brownian Motion on a Multidimensional Tilted Periodic Potential
• Quantum thermochemical engines
• Mechanical inhibition of dissipation in a thermodynamically consistent active solid
• Bounds and phase diagram of efficiency at maximum power for tight-coupling molecular motors
• Energetics and efficiency of a molecular motor model