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Title: Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation
Authors: Bodrova, Anna S.
Stadnichuk, Vladimir
Krapivsky, P. L.
Schmidt, Jürgen
Brilliantov, Nikolai V.
First Published: 23-Apr-2019
Publisher: IOP Publishing
Citation: Journal of Physics A: Mathematical and Theoretical, 2019, 52(20) 205001
Abstract: We analyze systems composed of clusters and interacting upon colliding---a collision between two clusters may lead to merging (an aggregation event) or fragmentation---and we also investigate the effect of additional, spontaneous fragmentation events. We consider closed systems in which the total mass remains constant and open systems driven by a source of small-mass clusters. In closed systems, the size distribution of aggregates approaches a steady state. For these systems the relaxation time and the steady state distribution are determined mostly by spontaneous fragmentation while collisional fragmentation plays a minor role. For open systems, in contrast, the collisional fragmentation dominates. In this case, the system relaxes to a quasi-stationary state where cluster densities linearly grow with time, while the functional form of the cluster size distribution persists and coincides with the steady state size distribution of a system which has the same aggregation and fragmentation rates and only collisional fragmentation, the spontaneous fragmentation is in this case negligible.
DOI Link: 10.1088/1751-8121/ab1616
eISSN: 1751-8121
Embargo on file until: 23-Apr-2020
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2019, IOP Publishing. Deposited with reference to the publisher’s open access archiving policy. (
Description: The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, Dept. of Mathematics

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