Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation
Abstract
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.
Keywords
Cite
@article{arxiv.1807.11326,
title = {Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation},
author = {Anna S. Bodrova and Vladimir Stadnichuk and P. L. Krapivsky and Jürgen Schmidt and Nikolai V. Brilliantov},
journal= {arXiv preprint arXiv:1807.11326},
year = {2019}
}