PMID: 12786130Jun 6, 2003Paper

Kinetics of random aggregation-fragmentation processes with multiple components

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
I J Laurenzi, S L Diamond

Abstract

A computationally efficient algorithm is presented for exact simulation of the stochastic time evolution of spatially homogeneous aggregation-fragmentation processes featuring multiple components or conservation laws. The algorithm can predict the average size and composition distributions of aggregating particles as well as their fluctuations, regardless of the functional form (e.g., composition dependence) of the aggregation or fragmentation kernels. Furthermore, it accurately predicts the complete time evolutions of all moments of the size and composition distributions, even for systems that exhibit gel transitions. We demonstrate the robustness and utility of the algorithm in case studies of linear and branched polymerization processes, the last of which is a two-component process. These simulation results provide the stochastic description of these processes and give new insights into their gel transitions, fluctuations, and long-time behavior when deterministic approaches to aggregation kinetics may not be reliable.

References

Jul 1, 1988·Physical Review. B, Condensed Matter·R D VigilB Lu
Jan 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P L Krapivsky, E Ben-Naim
Mar 2, 1987·Physical Review Letters·E D McGrady, R M Ziff

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Citations

Mar 12, 2009·The Journal of Chemical Physics·Matthew H FlammTalid Sinno
Jan 26, 2011·The Journal of Chemical Physics·Matthew H FlammScott L Diamond
May 9, 2006·Magnetic Resonance Imaging·Mikhail G ShapiroAlan Jasanoff
Feb 18, 2015·Computational and Mathematical Methods in Medicine·Berik KoichubekovXenia Mkhitaryan
Mar 10, 2016·Physical Chemistry Chemical Physics : PCCP·Maxim P EvstigneevIgor V Golovchenko
Aug 4, 2016·Physical Chemistry Chemical Physics : PCCP·Wojciech Jeżewski
Apr 2, 2019·Physical Chemistry Chemical Physics : PCCP·Anatoly S BuchelnikovMaxim P Evstigneev
Apr 19, 2019·Scientific Reports·Aleksandra A FilkovaAnastasia N Sveshnikova
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maxim P EvstigneevVladyslav P Evstigneev
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shun-You YangJianhong Ke

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