Growth of Clusters through Evaporation-Condensation Processes

  • Y. Hayakawa
  • M. Matsushita
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 43)


The aggregation and cluster formation of initially dispersed colloidal particles is often encountered in a variety of natural and industrial processes. The precipitation near the river mouth of tiny mud particles flowing into the sea is a typical example of such a process: The aggregation of mud colloids is initiated by salt in the sea water (salting-out). This kind of process is now known to be described by diffusion-limited cluster-cluster aggregation (DLCA) Model [1,2]. In DLCA clusters move around via diffusion with appropriate mobility and stick together irreversibly upon collision to form larger clusters. Quite a few experiments have already been done to elucidate the fractal structure of aggregated clusters and dynamics of aggregation process for a variety of colloids such as gold and silica colloids, and found to be explained fairly well by DLCA [3].


Spinodal Decomposition Cluster Growth Dynamic Exponent Fractal Dimen Silica Colloid 
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  1. 1.
    P. Meakin: Phys. Rev. Lett. 51, 1119 (1983).CrossRefADSGoogle Scholar
  2. 2.
    M. Kolb, R. Botet, and R. Jullien: Phys. Rev. Lett. 51, 1123 (1983).CrossRefADSGoogle Scholar
  3. 3.
    P. Meakin: In Phase Transitions and Critical Phenomena, ed. by C. Domb and J. L. Lebowitz, Vol.12 (Academic Press, New York, 1988 ); M. Matsushita: In The Fractal Approach to the Chemistry of Disordered Systems: Polymers, Colloids, Surfaces, ed. by D. Avnir ( Wiley, New York, 198x ).Google Scholar
  4. 4.
    S. Kai, S. C. Muller, and J. Ross: J. Phys. Chem. 87, 806 (1983); S. Kai and S. C. Muller: Science on Form 1, 9 (1985).CrossRefGoogle Scholar
  5. 5.
    R. Botet and R. Jullien: Phys. Rev. Lett. 55, 1943 (1985).CrossRefADSGoogle Scholar
  6. 6.
    See e. g., W. Feller, An Introduction to Probability Theory and its Applications Vol. 1 ( Wiley, New York, 1968 ).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • Y. Hayakawa
    • 1
  • M. Matsushita
    • 2
  1. 1.Research Institute of Electrical CommunicationTohoku UniversitySendaiJapan
  2. 2.Department of PhysicsChuo UniversityBunkyo-ku, TokyoJapan

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