Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics

A. Kalinov, A. I. Osinsky, S. A. Matveev, W. Otieno, N. V. Brilliantov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and compare their performance with the efficient deterministic finite-difference method applied to the same model. We validate the stochastic methods on the test problems and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations. We confirm the emergence of steady oscillations of densities in such systems and prove the stability of the oscillations with respect to fluctuations and noise.

Original languageEnglish
Article number111439
JournalJournal of Computational Physics
Publication statusPublished - 15 Oct 2022


  • Aggregation-fragmentation kinetics
  • Coagulation
  • Direct simulation Monte Carlo
  • Smoluchowski equations
  • Steady oscillations


Dive into the research topics of 'Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics'. Together they form a unique fingerprint.

Cite this