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Collective oscillations in irreversible coagulation driven by monomer inputs and large-cluster outputs
Robin C Ball1, Colm Connaughton, Peter P Jones
1Centre for Complexity Science, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom.
Physical Review Letters
|December 11, 2012
Summary
We found that irreversible coagulation with constant monomer input can exhibit collective oscillations. These oscillations replace a stable state when aggregation rates increase, leading to periodic mass transfer.
Area of Science:
- Physical Chemistry
- Chemical Kinetics
- Complex Systems
Background:
- Coagulation processes are fundamental in various scientific fields.
- Understanding nonequilibrium systems is crucial for modeling real-world phenomena.
- Previous models often assumed simplified aggregation rates.
Purpose of the Study:
- To investigate collective oscillatory behavior in irreversible coagulation kinetics.
- To identify conditions leading to the emergence of oscillations.
- To analyze the transition from a stationary state to oscillatory dynamics.
Main Methods:
- Modeling irreversible coagulation with constant monomer input and large cluster removal.
- Analyzing cluster size distribution and mass flux.
- Investigating the system's behavior under varying aggregation rates.
- Identifying bifurcations and oscillatory regimes.
Main Results:
- A universal nonequilibrium stationary state is reached for many collision rates.
- Universality is lost when aggregation rates increase steeply with cluster size.
- A Hopf bifurcation leads to persistent, periodic collective oscillations.
- Oscillations facilitate mass transfer, maintaining a constant average flux.
Conclusions:
- Collective oscillations emerge in coagulation under specific aggregation conditions.
- These oscillations represent a novel dynamic state in cluster growth.
- The study reveals a transition from universal scaling to oscillatory behavior.
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