# Oscillations in a Becker-D\"oring model with injection and depletion

@inproceedings{Niethammer2021OscillationsIA, title={Oscillations in a Becker-D\"oring model with injection and depletion}, author={Barbara Niethammer and Robert L. Pego and Andr{\'e} Schlichting and Juan J. L. Vel'azquez}, year={2021} }

We study the Becker–Döring bubblelator, a variant of the Becker–Döring coagulation-fragmentation system that models the growth of clusters by gain or loss of monomers. Motivated by models of gas evolution oscillators from physical chemistry, we incorporate injection of monomers and depletion of large clusters. For a wide range of physical rates, the Becker–Döring system itself exhibits a dynamic phase transition as mass density increases past a critical value. We connect the Becker–Döring… Expand

#### One Citation

Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics

- Mathematics, Physics
- ArXiv
- 2021

The stochastic methods are validated on the test problems and applied to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations and prove the stability of the oscillations with respect to fluctuations and noise. Expand

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