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Replication of noise-sustained autocatalytic chemical structures
Gonzalo G Izús1, Roberto R Deza, Alejandro D Sánchez
1IFIMAR (Universidad Nacional de Mar del Plata and CONICET), B7602AYL Mar del Plata, Argentina. izus@mdp.edu.ar
The Journal of Chemical Physics
|June 25, 2010
Summary
Coupled autocatalytic systems synchronize, with the slave system precisely replicating noise-induced patterns from the master system. This synchronization exhibits a predicted and confirmed convective instability.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Fluid dynamics
Background:
- Autocatalytic systems in differential-flow reactors can exhibit chemical instability.
- Noise can sustain structures in convectively unstable regimes.
- Previous work demonstrated Gray-Scott kinetics in a packed-bed reactor showing such phenomena.
Purpose of the Study:
- To investigate the synchronization of two coupled identical autocatalytic systems.
- To analyze pattern replication in a master-slave configuration under independent noise sources.
- To assess the quality of synchronization and identify potential instabilities.
Main Methods:
- Numerical simulation of two-dimensional reactors.
- Implementation of uniform and Poiseuille flow conditions.
- Coupling of master and slave systems with independent spatiotemporal Gaussian white noise.
Main Results:
- The slave system accurately replicates convective patterns from the master system.
- High-precision synchronization is achieved between the coupled systems.
- A convective instability within the synchronization manifold was both predicted and confirmed.
Conclusions:
- Coupled autocatalytic systems can achieve high-fidelity pattern replication.
- Noise-induced structures in one system can be faithfully reproduced in a coupled slave system.
- The synchronization manifold itself can exhibit convective instability, impacting system dynamics.
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