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Finite-size effects on open chaotic advection | | Rafael Dias Vilela
; Alessandro P.S. de Moura
; Celso Grebogi
; | | Date: |
15 Jul 2005 | | Subject: | Chaotic Dynamics | nlin.CD | | Abstract: | 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. | | Source: | arXiv, nlin.CD/0507033 | | Services: | Forum | Review | PDF | Favorites | |
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