Stochastic Stokes' drift of a flexible dumbbell

Details Stochastic Stokes' drift of a flexible dumbbell Stochastic Stokes' drift of a flexible dumbbell

2006-07-31

arxiv.org/abs/math/0607797v4

Mathematics

Probability

12 pages, 1 figure

Scientific paper

10.1016/j.fluiddyn.2007.04.002

We consider the stochastic Stokes drift of a flexible dumbbell. The dumbbell consists of two isotropic Brownian particles connected by a linear spring with zero natural length, and is advected by a sinusoidal wave. We find an asymptotic approximation for the Stokes drift in the limit of a weak wave, and find good agreement with the results of a Monte Carlo simulation. We show that it is possible to use this effect to sort particles by their flexibility even when all the particles have the same diffusivity.

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