Phase transitions in systems with aggregation and shattering

P. L. Krapivsky, W. Otieno, N. V. Brilliantov

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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 breakup 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.

Original languageEnglish
Article number042138
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4
Publication statusPublished - 17 Oct 2017
Externally publishedYes


Dive into the research topics of 'Phase transitions in systems with aggregation and shattering'. Together they form a unique fingerprint.

Cite this