Reactive particles in random flows

G Karolyi, T Tel, A P S de Moura, C Grebogi

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Abstract

We study the dynamics of chemically or biologically active particles advected by open flows of chaotic time dependence, which can be modeled by a random time dependence of the parameters on a stroboscopic map. We develop a general theory for reactions in such random flows, and derive the reaction equation for this case. We show that there is a singular enhancement of the reaction in random flows, and this enhancement is increased as compared to the nonrandom case. We verify our theory in a model flow generated by four point vortices moving chaotically.

Original languageEnglish
Article number174101
Number of pages4
JournalPhysical Review Letters
Volume92
Issue number17
DOIs
Publication statusPublished - 30 Apr 2004

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Keywords

  • advection-diffusion equation
  • open chaotic flows
  • 2-dimensional turbulence
  • ozone depletion
  • attractors

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