Chemical and biological activity in three-dimensional flows

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8 Citations (Scopus)

Abstract

We study the dynamics of active particles advected by three-dimensional (3D) open incompressible flows, both analytically and numerically. We find that 3D reactive flows have fundamentally different dynamical features from those in 2D systems. In particular, we show that the reaction's productivity per reaction step can be enhanced, with respect to the 2D case, while the productivity per unit time in some 3D flows goes to zero in the limit of high mixing rates, in contrast to the 2D behavior, in which the productivity goes to a finite constant. These theoretical predictions are validated by numerical simulations on a generic map model.

Original languageEnglish
Article number026218
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume70
Issue number2
DOIs
Publication statusPublished - 30 Aug 2004

Keywords

  • open chaotic flows
  • scattering
  • advection
  • topology
  • fields
  • maps

Cite this

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title = "Chemical and biological activity in three-dimensional flows",
abstract = "We study the dynamics of active particles advected by three-dimensional (3D) open incompressible flows, both analytically and numerically. We find that 3D reactive flows have fundamentally different dynamical features from those in 2D systems. In particular, we show that the reaction's productivity per reaction step can be enhanced, with respect to the 2D case, while the productivity per unit time in some 3D flows goes to zero in the limit of high mixing rates, in contrast to the 2D behavior, in which the productivity goes to a finite constant. These theoretical predictions are validated by numerical simulations on a generic map model.",
keywords = "open chaotic flows, scattering, advection, topology, fields, maps",
author = "{de Moura}, {Alessandro P. S.} and Celso Grebogi",
year = "2004",
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doi = "10.1103/PhysRevE.70.026218",
language = "English",
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T1 - Chemical and biological activity in three-dimensional flows

AU - de Moura, Alessandro P. S.

AU - Grebogi, Celso

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N2 - We study the dynamics of active particles advected by three-dimensional (3D) open incompressible flows, both analytically and numerically. We find that 3D reactive flows have fundamentally different dynamical features from those in 2D systems. In particular, we show that the reaction's productivity per reaction step can be enhanced, with respect to the 2D case, while the productivity per unit time in some 3D flows goes to zero in the limit of high mixing rates, in contrast to the 2D behavior, in which the productivity goes to a finite constant. These theoretical predictions are validated by numerical simulations on a generic map model.

AB - We study the dynamics of active particles advected by three-dimensional (3D) open incompressible flows, both analytically and numerically. We find that 3D reactive flows have fundamentally different dynamical features from those in 2D systems. In particular, we show that the reaction's productivity per reaction step can be enhanced, with respect to the 2D case, while the productivity per unit time in some 3D flows goes to zero in the limit of high mixing rates, in contrast to the 2D behavior, in which the productivity goes to a finite constant. These theoretical predictions are validated by numerical simulations on a generic map model.

KW - open chaotic flows

KW - scattering

KW - advection

KW - topology

KW - fields

KW - maps

U2 - 10.1103/PhysRevE.70.026218

DO - 10.1103/PhysRevE.70.026218

M3 - Article

VL - 70

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 2

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ER -