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Finite-size effects on open chaotic advection

By Rafael Dias Vilela, Alessandro P. S. de Moura and Celso Grebogi


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.Comment: 6 pages, 6 figure

Topics: Nonlinear Sciences - Chaotic Dynamics
Year: 2005
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