Chemical transients in closed chaotic flows: The role of effective dimensions

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Abstract

We investigate chemical activity in hydrodynamical flows in closed containers. In contrast to open flows, in closed flows the chemical field does not show a well-defined fractal property; nevertheless, there is a transient filamentary structure present. We show that the effect of the filamentary patterns on the chemical activity can be modeled by the use of time-dependent effective dimensions. We derive a new chemical rate equation, which turns out to be coupled to the dynamics of the effective dimension, and predicts an exponential convergence. Previous results concerning activity in open flows are special cases of this new rate equation.

Original languageEnglish
Article number264501
JournalPhysical review letters
Volume95
Issue number26
DOIs
Publication statusPublished - Dec 31 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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