Autocatalytic reactions of phase distributed active particles

Giovanni Santoboni*, Takashi Nishikawa, Zoltán Toroczkai, Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We investigate the effect of asynchronism of autocatalytic reactions taking place in open hydrodynamical flows, by assigning a phase to each particle in the system to differentiate the timing of the reaction, while the reaction rate (periodicity) is kept unchanged. The chaotic saddle in the flow dynamics acts as a catalyst and enhances the reaction in the same fashion as in the case of a synchronous reaction that was studied previously, proving that the same type of nonlinear reaction kinetics is valid in the phase-distributed situation. More importantly, we show that, in a certain range of a parameter, the phenomenon of phase selection can occur, when a group of particles with a particular phase is favored over the others, thus occupying a larger fraction of the available space, or eventually leading to the extinction of the unfavored phases. We discuss the biological relevance of this latter phenomenon.

Original languageEnglish (US)
Pages (from-to)408-416
Number of pages9
Issue number2
StatePublished - Jun 2002

ASJC Scopus subject areas

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


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