Stochastic Stokes' drift

Details Stochastic Stokes' drift Stochastic Stokes' drift

1998-08-28

arxiv.org/abs/physics/9808042v1

Physics

Classical Physics

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

Scientific paper

10.1103/PhysRevLett.81.3136

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.

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