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Structure factors from cluster-cluster aggregation simulation at high concentration

Author

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  • 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
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    References listed on IDEAS

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    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.
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    Cited by:

    1. 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.
    2. 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.
    3. Löwen, Hartmut, 1997. "Possibilities of phase separation in colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 129-141.

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