IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v143y1987i3p535-546.html
   My bibliography  Save this article

A Monte Carlo simulation of coagulation

Author

Listed:
  • Garcia, Alejandro L.
  • van den Broeck, Christian
  • Aertsens, Marc
  • Serneels, Roger

Abstract

A Monte Carlo simulation technique is described for the study of the coagulation of suspended particles. The method is computationally efficient since the particle trajectories are not used to determine coagulations. Instead, pairs of particles are assigned probabilities to coagulate and the evolution is computed as a stochastic Markov game. We also describe a simple analytic method to obtain the stationary distribution of sizes for the various mechanisms of relative particle motion. It is demonstrated that the simulation yields the correct stationary size distribution independent of initial condition.

Suggested Citation

  • Garcia, Alejandro L. & van den Broeck, Christian & Aertsens, Marc & Serneels, Roger, 1987. "A Monte Carlo simulation of coagulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 535-546.
    • Handle: RePEc:eee:phsmap:v:143:y:1987:i:3:p:535-546
    DOI: 10.1016/0378-4371(87)90164-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437187901646
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(87)90164-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lemarchand, H. & Nicolis, G., 1976. "Long range correlations and the onset of chemical instabilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(4), pages 521-542.
    2. Van den Broeck, C. & Houard, J. & Malek Mansour, M., 1980. "Chapman-Enskog development of the multivariate master equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 167-184.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sabelfeld, Karl K., 2018. "A random walk on spheres based kinetic Monte Carlo method for simulation of the fluctuation-limited bimolecular reactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 143(C), pages 46-56.
    2. Wagner, Wolfgang, 2003. "Stochastic, analytic and numerical aspects of coagulation processes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(3), pages 265-275.
    3. Aertsens, Marc, 1988. "Simulation of the front deformation by diffusion induced coagulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 151(2), pages 193-206.
    4. Eibeck Andreas & Wagner Wolfgang, 2001. "Stochastic algorithms for studying coagulation dynamics and gelation phenomena," Monte Carlo Methods and Applications, De Gruyter, vol. 7(1-2), pages 157-166, December.
    5. Wei, Jianming, 2014. "A parallel Monte Carlo method for population balance modeling of particulate processes using bookkeeping strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 186-197.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Boissonade, J., 1982. "Molecular dynamics studies of metastability and nucleation in a non-equilibrium chemical system with multiple steady states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(3), pages 607-618.
    2. Frankowicz, M. & Gudowska-Nowak, E., 1982. "Stochastic simulation of a bistable chemical system: The two-box model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 331-344.
    3. Borgis, D. & Moreau, M., 1984. "On the stochastic theory of a bistable chemical reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 109-130.
    4. Moreau, M. & Vicente, L., 1982. "Influence of an external field on the stochastic theory of polymerization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 543-559.
    5. Moreau, M. & Vicente, L., 1982. "On the stochastic theory of polymerization reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 139-160.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:143:y:1987:i:3:p:535-546. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.