Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation

Anna S. Bodrova, Vladimir Stadnichuk, P. L. Krapivsky, Jürgen Schmidt, Nikolai V. Brilliantov

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)


    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.

    Original languageEnglish
    Article number205001
    JournalJournal of Physics A: Mathematical and Theoretical
    Issue number20
    Publication statusPublished - 23 Apr 2019


    • aggregation
    • fragmentation
    • Smoluchowski equation


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