Autor:	de Moura, Alessandro P. S.
Rok vydání:	2012
Předmět:	Nonlinear Sciences - Chaotic Dynamics Physics - Fluid Dynamics
Zdroj:	Physical Review Letters 107, 274501 (2011)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.107.274501
Popis:	We study the collision probability $p$ of particles advected by open flows displaying chaotic advection. We show that $p$ scales with the particle size $\delta$ 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 we find very good agreement with the theoretical predictions. Comment: 5 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1201.5553 Zobrazit plný text záznamu View this record from Arxiv