Quasi-deterministic transport of Brownian particles in an oscillating periodic potential

Abstract

We consider overdamped Brownian dynamics in a periodic potential with temporally oscillating amplitude. We analyze the transport which shows effective diffusion enhanced by the oscillations and derive approximate expressions for the diffusion coefficient. Furthermore we analyze the effect of the oscillating potential on the transport if additionally a constant force is applied. We show the existence of synchronization regimes at which the deterministic dynamics is in resonance with the potential oscillations giving rise to transport with extremely low dispersion. We distinguish slow and fast oscillatory driving and give analytical expressions for the mean velocity and effective diffusion.

submitted: Feb 12th, 2010

References in corpus (3)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Accelerating numerical solution of Stochastic Differential Equations with CUDA
• Dispersionless transport in a washboard potential

Cited by in corpus (6)

• Giant transversal particle diffusion in a longitudinal magnetic ratchet
• Synchronous versus asynchronous transport of a paramagnetic particle in a modulated ratchet potential
• Anisotropic diffusion in square lattice potentials: giant enhancement and control
• On dispersionless transport in washboard potentials
• Resonant Response in Non-equilibrium Steady States
• Synchronization of weakly perturbed Markov chain oscillators