University of Oulu

Anna S Bodrova et al 2019 J. Phys. A: Math. Theor. 52 205001.

Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation

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Author: Bodrova, Anna S1,2,3,4; Stadnichuk, Vladimir2; Krapivsky, P L5;
Organizations: 1Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, 123458, Moscow, Russia
2Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow, 119991, Russia
3Skolkovo Institute of Science and Technology, 121205 Moscow, Russia
4Humboldt University, Department of Physics, Newtonstrasse 15, 12489 Berlin, Germany
5Department of Physics, Boston University, Boston, MA 02215, United States of America
6Astronomy Research Unit, University of Oulu, PL 3000 FI-90914, Finland
7Department of Mathematics, University of Leicester, Leicester LE1 7RH, United Kingdom
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.4 MB)
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Language: English
Published: IOP Publishing, 2019
Publish Date: 2020-04-23


We analyze systems of clusters and interacting upon colliding—a collision between two clusters may lead to merging or fragmentation—and we also investigate the influence of additional spontaneous fragmentation events. We consider both 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.

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Series: Journal of physics. A, Mathematical and theoretical
ISSN: 1751-8113
ISSN-E: 1751-8121
ISSN-L: 1751-8113
Volume: 52
Issue: 20
Article number: 205001
DOI: 10.1088/1751-8121/ab1616
Type of Publication: A1 Journal article – refereed
Field of Science: 115 Astronomy and space science
Copyright information: © 2019 IOP Publishing Ltd.