Temporal oscillations in Becker-Doering equations with atomization
Dynamical Systems
2020-04-22 v2 Statistical Mechanics
Abstract
We prove that time-periodic solutions arise via Hopf bifurcation in a finite closed system of coagulation-fragmentation equations. The system we treat is a variant of the Becker-Doering equations, in which clusters grow or shrink by addition or deletion of monomers. To this is added a linear atomization reaction for clusters of maximum size. The structure of the system is motivated by models of gas evolution oscillators in physical chemistry, which exhibit temporal oscillations under certain input/output conditions.
Cite
@article{arxiv.1905.02605,
title = {Temporal oscillations in Becker-Doering equations with atomization},
author = {Robert L. Pego and Juan J. L. Velázquez},
journal= {arXiv preprint arXiv:1905.02605},
year = {2020}
}
Comments
30 pages, 3 figures; revised to include formal continuum limit & minor revisions