Reacting particles in open chaotic flows

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Fingerprint

advection
fractals
reaction kinetics
scaling
collisions
coefficients
simulation

Cite this

Reacting particles in open chaotic flows. / de Moura, Alessandro Paula Servio.

In: Physical Review Letters, Vol. 107, No. 27, 274501, 30.12.2011.

Research output: Contribution to journalArticle

@article{fe18434c852d40b7adf696e766a73c63,
title = "Reacting particles in open chaotic flows",
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.",
author = "{de Moura}, {Alessandro Paula Servio}",
year = "2011",
month = "12",
day = "30",
doi = "10.1103/PhysRevLett.107.274501",
language = "English",
volume = "107",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "27",

}

TY - JOUR

T1 - Reacting particles in open chaotic flows

AU - de Moura, Alessandro Paula Servio

PY - 2011/12/30

Y1 - 2011/12/30

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.107.274501

DO - 10.1103/PhysRevLett.107.274501

M3 - Article

VL - 107

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 27

M1 - 274501

ER -