Chemical and biological activity in open flows: A dynamical system approach

Tamás Tél, Alessandro de Moura, Celso Grebogi, György Károlyi

Research output: Contribution to journalReview article

140 Citations (Scopus)


Chemical and biological processes often take place in fluid flows. Many of them, like environmental or microfluidical ones, generate filamentary patterns which have a fractal structure, due to the presence of chaos in the underlying advection dynamics. In such cases, hydrodynamical stirring strongly couples to the reactivity of the advected species: the outcome of the reaction is then typically different from that of the same reaction taking place in a well-mixed environment. Here we review recent progress in this field, which became possible due to the application of methods taken from dynamical system theory. We place special emphasis on the derivation of effective rate equations which contain singular terms expressing the fact that the reaction takes place on a moving fractal catalyst, on the unstable foliation of the reaction free advection dynamics.

Original languageEnglish
Pages (from-to)91-196
Number of pages106
JournalPhysics Reports
Issue number2-3
Publication statusPublished - Jul 2005



  • Advection-reaction-diffusion
  • Chaotic advection
  • Diffusion
  • Filamentary fractal
  • Inertial effect
  • Non-hyperbolic effect
  • Population dynamics
  • Reaction

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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