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Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation
journal contributionposted on 2019-05-20, 09:36 authored by Anna S. Bodrova, Vladimir Stadnichuk, P. L. Krapivsky, Jürgen Schmidt, Nikolai V. Brilliantov
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.
CitationJournal of Physics A: Mathematical and Theoretical, 2019, 52(20) 205001
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- AM (Accepted Manuscript)