Autocatalytic reactions in systems with hyperbolic mixing: Exact results for the active Baker map

Z. Toroczkai, G. Károlyi, Á Péntek, T. Tél

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11 Citations (Scopus)


We investigate the effects of hyperbolic hydrodynamical mixing on the reaction kinetics of autocatalytic systems. Exact results are derived for the two-dimensional open Baker map as an underlying mixing dynamics for a two-component autocatalytic system, A+B → 2B. We prove that chaotic advection modelled by the Baker map enhances the productivity of the reaction which is due to the fact that the reaction kinetics is catalysed by the fractal unstable manifold of the chaotic set of the reaction-free dynamics. The results are compared with phenomenological theories of active advection.

Original languageEnglish
Pages (from-to)5215-5235
Number of pages21
JournalJournal of Physics A: Mathematical and General
Issue number25
Publication statusPublished - Dec 1 2001


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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