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Autocatalytic reactions of phase distributed active particles
Giovanni Santoboni1, Takashi Nishikawa, Zoltan Toroczkai
1Institute for Plasma Research, University of Maryland, College Park, Maryland 20472Dipartimento di Fisica, Universita di Cagliari, 09042 Monserrato, Cagliari, Italy.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Summary
Asynchronous autocatalytic reactions in fluid flows are enhanced by chaotic dynamics. Phase selection can occur, favoring certain reaction timings and potentially leading to the extinction of others.
Area of Science:
- Chemical Kinetics
- Fluid Dynamics
- Nonlinear Dynamics
Background:
- Autocatalytic reactions are fundamental in chemical processes.
- Previous studies explored synchronous reactions in chaotic flows.
- Understanding reaction dynamics in complex fluid systems is crucial.
Purpose of the Study:
- To investigate the impact of asynchronism on autocatalytic reactions in open hydrodynamical flows.
- To determine if chaotic saddles enhance reactions in phase-distributed systems.
- To explore the phenomenon of phase selection in such systems.
Main Methods:
- Assigning distinct phases to particles to represent reaction timing.
- Maintaining constant reaction rates (periodicity) across particles.
- Analyzing the influence of chaotic saddles on reaction kinetics.
Main Results:
- Chaotic saddles enhance autocatalytic reactions, similar to synchronous cases.
- Nonlinear reaction kinetics are valid for phase-distributed reactions.
- Phase selection observed, favoring specific reaction timings and potentially leading to extinction.
Conclusions:
- Asynchronism does not hinder reaction enhancement by chaotic dynamics.
- Phase selection is a significant emergent phenomenon in these systems.
- The findings have potential biological relevance for understanding reaction dynamics in living systems.