Autonomous Brownian motor driven by nonadiabatic variation of internal parameters
arXiv:1501.04563 · doi:10.1007/s10955-015-1196-y
Abstract
We discuss an autonomous motor based on a Brownian particle driven from thermal equilibrium by periodic in time variation of the internal potential through which the particle interacts with molecules of the surrounding thermal bath. We demonstrate for such a motor the absence of a linear response regime: The average driving force and drift velocity are shown to be quadratic in both the frequency and amplitude of the variation. The adiabatic approximation (of an infinitely slow variation) and the leading correction to it (linear in the variation's frequency) both lead to zero drift and are insufficient to describe the motor's operation.
arXiv commentTo appear in J. Stat. Phys
References in corpus (18)
- Brownian motors: noisy transport far from equilibrium
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- Propulsion of a molecular machine by asymmetric distribution of reaction--products
- Work and information processing in a solvable model of Maxwell's demon
- Extracting work from a single heat bath through feedback
- Exact microscopic analysis of a thermal Brownian motor
- Directed flow in non-adiabatic stochastic pumps
- Stationary Motion of the Adiabatic Piston
- Pumping-Restriction Theorem for Stochastic Networks
- Kinetics of a frictional granular motor
- Granular Brownian Motor
- Ångström-scale chemically powered motors
- Ratchet effect driven by Coulomb friction: the asymmetric Rayleigh piston
- Langevin equation for the extended Rayleigh model with an asymmetric bath
- Transient rectification of Brownian diffusion with asymmetric initial distribution
- Motion by Stopping: Rectifying Brownian Motion of Non-spherical Particles
- Breaking the symmetry of a Brownian motor with symmetric potentials
- Brownian diode: Molecular motor based on a semi-permeable Brownian particle with internal potential drop