Phase Transitions in Systems with Aggregation and Shattering
arXiv:1708.06440 · doi:10.1103/PhysRevE.96.042138
Abstract
We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of the monomer to the cluster (addition process) or to the total break-up of the cluster (shattering process). A phase transition, separating qualitatively different behaviors, occurs when the probability of shattering events exceeds a certain threshold. The novel feature of the phase transition is the dramatic dependence on the initial conditions.
10 pages, 12 figures
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- Hopf bifurcation in addition-shattering kinetics
- Supercluster states and phase transitions in aggregation-fragmentation processes
- Origin of the spontaneous oscillations in a simplified coagulation-fragmentation system driven by a source
- Stability condition of the steady oscillations in aggregation models with shattering process and self-fragmentation