Stochastic Stokes' drift

Abstract

Classical Stokes' drift is the small time-averaged drift velocity of suspended non-diffusing particles in a fluid due to the presence of a wave. We consider the effect of adding diffusion to the motion of the particles, and show in particular that a non-zero time-averaged drift velocity exists in general even when the classical Stokes' drift is zero. Our results are obtained from a general procedure for calculating ensemble-averaged Lagrangian mean velocities for motion that is close to Brownian, and are verified by numerical simulations in the case of sinusoidal forcing.

11 pages, 3 postscript figures included. Physcal Review Letters, in press

References in corpus (1)

• Stochastic calculus: application to dynamic bifurcations and threshold crossings

Cited by in corpus (11)

• Brownian motors: noisy transport far from equilibrium
• Swimmer-tracer scattering at low Reynolds number
• A homogenization approach for the motion of motor proteins
• Stokes' drift: a rocking ratchet
• Stochastic Stokes' drift with inertia
• Numerical Methods for Computing Effective Transport Properties of Flashing Brownian Motors
• Stochastic Stokes' drift of a flexible dumbbell
• On the bulk velocity of Brownian ratchets
• Transport in randomly-fluctuating spatially-periodic potentials
• Dichotomous Markov noise: Exact results for out-of-equilibrium systems. A review
• Beyond Stokes drift -- Lagrangian transport in evolving gravity waves