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Regular version of the site

Article

Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation

Bodrova A., Stadnichuk V., Krapivsky P., Schmidt J., Brilliantov N.

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.