Please use this identifier to cite or link to this item:
|Title:||Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation|
|Authors:||Bodrova, Anna S.|
Krapivsky, P. L.
Brilliantov, Nikolai V.
|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.|
|Embargo on file until:||23-Apr-2020|
|Rights:||Copyright © 2019, IOP Publishing. Deposited with reference to the publisher’s open access archiving policy. (http://www.rioxx.net/licenses/all-rights-reserved)|
|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|
Files in This Item:
|Anna_AF_NB.pdf||Post-review (final submitted author manuscript)||282.36 kB||Adobe PDF||View/Open|
Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.