Reacting particles in open chaotic flows

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Abstract

We study the collision probability p of particles advected by open flows with chaotic advection. We show that p scales with the particle size (or, alternatively, reaction distance) d as a power law whose coefficient is determined by the fractal dimensions of the invariant sets defined by the advection dynamics. We also argue that this same scaling also holds for the reaction rate of active particles in the low-density regime. These analytical results are compared to numerical simulations, and they are found to agree very well.

Original languageEnglish
Article number274501
Number of pages5
JournalPhysical Review Letters
Volume107
Issue number27
Early online date27 Dec 2011
DOIs
Publication statusPublished - 30 Dec 2011

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