IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v208y1994i1p8-17.html
   My bibliography  Save this article

Structure factors from cluster-cluster aggregation simulation at high concentration

Author

Listed:
  • Haw, M.D.
  • Poon, W.C.K.
  • Pusey, P.N.

Abstract

Aggregation of particles in two dimensions at high concentration is simulated using the diffusion-limited cluster-cluster aggregation model. Static structure factors are calculated from particle configurations. A simple model in which clusters diffuse at rates inversely proportional to their radii of gyration reproduces qualitatively the behaviour observed in experiments. A peak in the structure factor S(Q) is observed at small scattering vectors Q. The intensity of the peak increases, and its Q-value decreases, as the aggregation proceeds. Finally all particles belong to a single system-spanning cluster, the ‘gel’ state, and the scattering peak is ‘frozen’ at a given Q. The gel structure is formed from a random close-packed collection of smaller, ramified clusters.

Suggested Citation

  • Haw, M.D. & Poon, W.C.K. & Pusey, P.N., 1994. "Structure factors from cluster-cluster aggregation simulation at high concentration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(1), pages 8-17.
    • Handle: RePEc:eee:phsmap:v:208:y:1994:i:1:p:8-17
    DOI: 10.1016/0378-4371(94)90529-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194905290
    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(94)90529-0?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. Asch, Peter & Gigliotti, Gary A & Polito, James A, 1993. "Free Riding with Discrete and Continuous Public Goods: Some Experimental Evidence," Public Choice, Springer, vol. 77(2), pages 293-305, October.
    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. Löwen, Hartmut, 1997. "Possibilities of phase separation in colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 129-141.
    2. Earnshaw, J.C. & Robinson, D.J., 1995. "Inter-cluster scaling in two-dimensional colloidal aggregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(1), pages 23-51.
    3. Poon, W.C.K. & Pirie, A.D. & Haw, M.D. & Pusey, P.N., 1997. "Non-equilibrium behaviour of colloid-polymer mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 110-119.

    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. Doruk İriş & Jungmin Lee & Alessandro Tavoni, 2015. "Delegation and public pressure in a threshold public goods game: theory and experimental evidence," GRI Working Papers 186, Grantham Research Institute on Climate Change and the Environment.
    2. Jennifer Zelmer, 2003. "Linear Public Goods Experiments: A Meta-Analysis," Experimental Economics, Springer;Economic Science Association, vol. 6(3), pages 299-310, November.
    3. Hasson, Reviva & Löfgren, Åsa & Visser, Martine, 2010. "Climate change in a public goods game: Investment decision in mitigation versus adaptation," Ecological Economics, Elsevier, vol. 70(2), pages 331-338, December.
    4. Rondeau, Daniel & D. Schulze, William & Poe, Gregory L., 1999. "Voluntary revelation of the demand for public goods using a provision point mechanism," Journal of Public Economics, Elsevier, vol. 72(3), pages 455-470, June.
    5. Federica Alberti & Edward J. Cartwright, 2016. "Full agreement and the provision of threshold public goods," Public Choice, Springer, vol. 166(1), pages 205-233, January.
    6. Krall, A.H. & Huang, Z. & Weitz, D.A., 1997. "Dynamics of density fluctuations in colloidal gels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 19-33.
    7. Rachel Croson & Melanie Marks, 2000. "Step Returns in Threshold Public Goods: A Meta- and Experimental Analysis," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 239-259, March.
    8. Douadia Bougherara & Laurent Denant-Boèmont & David Masclet, 2007. "Creating vs. maintaining threshold public goods in conservation policies," Post-Print halshs-00175879, HAL.
    9. Doruk İriş & Jungmin Lee & Alessandro Tavoni, 2015. "Delegation and public pressure in a threshold public goods game: theory and experimental evidence," GRI Working Papers 186, Grantham Research Institute on Climate Change and the Environment.
    10. Fernández-Barbero, A. & Schmitt, A. & Cabrerizo-Vílchez, M. & Martínez-García, R., 1996. "Cluster-size distribution in colloidal aggregation monitored by single-cluster light scattering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 53-74.
    11. Bougherara, Douadia & Denant-Boemont, Laurent & Masclet, David, 2011. "Cooperation and framing effects in provision point mechanisms: Experimental evidence," Ecological Economics, Elsevier, vol. 70(6), pages 1200-1210, April.
    12. Marks, Melanie & Croson, Rachel, 1998. "Alternative rebate rules in the provision of a threshold public good: An experimental investigation," Journal of Public Economics, Elsevier, vol. 67(2), pages 195-220, February.
    13. Asnaghi, D. & Carpineti, M. & Giglio, M. & Vailati, A., 1995. "Light scattering studies of aggregation phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(1), pages 148-158.
    14. David McEvoy, 2010. "Not it: opting out of voluntary coalitions that provide a public good," Public Choice, Springer, vol. 142(1), pages 9-23, January.
    15. Rondeau, Daniel & Poe, Gregory L. & Schulze, William D., 2005. "VCM or PPM? A comparison of the performance of two voluntary public goods mechanisms," Journal of Public Economics, Elsevier, vol. 89(8), pages 1581-1592, August.

    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:208:y:1994:i:1:p:8-17. 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.