Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics
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.
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Author
Kalinov, AlekseiISTA 
;
Osinskiy, A.I.;
Matveev, S.A.;
Otieno, W.;
Brilliantov, N.V.
;
Osinskiy, A.I.;
Matveev, S.A.;
Otieno, W.;
Brilliantov, N.V.Department
Abstract
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
oscillations with respect to fluctuations and noise.
Keywords
Publishing Year
Date Published
2022-10-15
Journal Title
Journal of Computational Physics
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).
Volume
467
Article Number
111439
ISSN
IST-REx-ID
Cite this
Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 2022;467. doi:10.1016/j.jcp.2022.111439
Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., & Brilliantov, N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. Elsevier. https://doi.org/10.1016/j.jcp.2022.111439
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.” Journal of Computational Physics. Elsevier, 2022. https://doi.org/10.1016/j.jcp.2022.111439.
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,” Journal of Computational Physics, vol. 467. Elsevier, 2022.
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.
Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” Journal of Computational Physics, vol. 467, 111439, Elsevier, 2022, doi:10.1016/j.jcp.2022.111439.
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