---
_id: '11556'
abstract:
- lang: eng
  text: "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 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\r\noscillations with respect to fluctuations and noise."
acknowledgement: Zhores supercomputer of Skolkovo Institute of Science and Technology
  [68] has been used in the present research. S.A.M. was supported by Moscow Center
  for Fundamental and Applied Mathematics (the agreement with the Ministry of Education
  and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges
  RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical
  Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021).
article_number: '111439'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Aleksei
  full_name: Kalinov, Aleksei
  id: 44b7120e-eb97-11eb-a6c2-e1557aa81d02
  last_name: Kalinov
  orcid: 0000-0003-2189-3904
- first_name: A.I.
  full_name: Osinskiy, A.I.
  last_name: Osinskiy
- first_name: S.A.
  full_name: Matveev, S.A.
  last_name: Matveev
- first_name: W.
  full_name: Otieno, W.
  last_name: Otieno
- first_name: N.V.
  full_name: Brilliantov, N.V.
  last_name: Brilliantov
citation:
  ama: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation
    Monte Carlo for new regimes in aggregation-fragmentation kinetics. <i>Journal
    of Computational Physics</i>. 2022;467. doi:<a href="https://doi.org/10.1016/j.jcp.2022.111439">10.1016/j.jcp.2022.111439</a>
  apa: Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., &#38; Brilliantov,
    N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation
    kinetics. <i>Journal of Computational Physics</i>. Elsevier. <a href="https://doi.org/10.1016/j.jcp.2022.111439">https://doi.org/10.1016/j.jcp.2022.111439</a>
  chicago: Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov.
    “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.”
    <i>Journal of Computational Physics</i>. Elsevier, 2022. <a href="https://doi.org/10.1016/j.jcp.2022.111439">https://doi.org/10.1016/j.jcp.2022.111439</a>.
  ieee: A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov,
    “Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,”
    <i>Journal of Computational Physics</i>, vol. 467. Elsevier, 2022.
  ista: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct
    simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics.
    Journal of Computational Physics. 467, 111439.
  mla: Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in
    Aggregation-Fragmentation Kinetics.” <i>Journal of Computational Physics</i>,
    vol. 467, 111439, Elsevier, 2022, doi:<a href="https://doi.org/10.1016/j.jcp.2022.111439">10.1016/j.jcp.2022.111439</a>.
  short: A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal
    of Computational Physics 467 (2022).
date_created: 2022-07-11T12:19:59Z
date_published: 2022-10-15T00:00:00Z
date_updated: 2023-08-03T11:55:06Z
day: '15'
ddc:
- '518'
department:
- _id: GradSch
- _id: ChWo
doi: 10.1016/j.jcp.2022.111439
external_id:
  arxiv:
  - '2103.09481'
  isi:
  - '000917225500013'
intvolume: '       467'
isi: 1
keyword:
- Computer Science Applications
- Physics and Astronomy (miscellaneous)
- Applied Mathematics
- Computational Mathematics
- Modeling and Simulation
- Numerical Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2103.09481
month: '10'
oa: 1
oa_version: Preprint
publication: Journal of Computational Physics
publication_identifier:
  issn:
  - 0021-9991
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Direct simulation Monte Carlo for new regimes in aggregation-fragmentation
  kinetics
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 467
year: '2022'
...