Finite-size effects on open chaotic advection

Details Finite-size effects on open chaotic advection Finite-size effects on open chaotic advection

2005-07-15

arxiv.org/abs/nlin/0507033v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 6 figures

Scientific paper

We study the effects of finite-sizeness on small, neutrally buoyant, spherical particles advected by open chaotic flows. We show that, when projected onto configuration space, the advected finite-size particles disperse about the unstable manifold of the chaotic saddle that governs the passive advection. Using a discrete-time system for the dynamics, we obtain an expression predicting the dispersion of the finite-size particles in terms of their Stokes parameter at the onset of the finite-sizeness induced dispersion. We test our theory in a system derived from a flow and find remarkable agreement between our expression and the numerically measured dispersion.

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