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Application of fractal concepts to the study of caseinate aggregation phenomena

Published online by Cambridge University Press:  01 June 2009

David S. Horne
Affiliation:
Hannah Research Institute, Ayr KA6 5HL, UK

Summary

The concepts of fractals and fractal dimension are introduced and applied to the description of the disordered structures of colloidal aggregates. It is demonstrated that the structure of the aggregates produced by ethanol de-stabilization of casein micelles can be quantitatively characterized by a fractal dimension. The values measured are compared to literature predictions from various computer studies simulating different models of the aggregation process.

Type
Original Articles
Copyright
Copyright © Proprietors of Journal of Dairy Research 1989

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References

REFERENCES

Botet, R. & Jullien, R. 1985 Diffusion-limited aggregation with disaggregation. Physical Review Letters 55 19431946CrossRefGoogle ScholarPubMed
Forrest, S. & Witten, T. A. 1979 Long-range correlations in smoke-particle aggregates. Journal of Physics A 12 L109–L117CrossRefGoogle Scholar
Horne, D. S. 1987 Determination of the fractal dimension using turbidimetric techniques. Faraday Discussions of the Chemical Society 83 259270CrossRefGoogle Scholar
Jullien, R. & Kolb, M. 1984 Hierarchical model for chemically limited cluster-cluster aggregation. Journal of Physics A 17 L639–L643CrossRefGoogle Scholar
Kolb, M., Botet, R. & Jullien, R. 1983 Scaling of kinetically growing clusters. Physical Review Letters 51 11231126CrossRefGoogle Scholar
Kolb, M., Jullien, R. & Botet, R. 1985 In Scaling Phenomena in Disordered Systems pp 7178 (Eds. Pynn, R. & Skjeltorp, A.). New York: PlenumGoogle Scholar
Mandelbrot, B. B. 1977 The Fractal Geometry of Nature New York: FreemanGoogle Scholar
Meakin, P. 1983 Formation of fractal clusters and networks by irreversible diffusion-limited aggregation. Physical Review Letters 51 11191122CrossRefGoogle Scholar
Meakin, P. 1985 The effects of random bond breaking on diffusion limited cluster-cluster aggregation. Journal of Chemical Physics 83 36453649CrossRefGoogle Scholar
Meakin, P. 1986 The effects of reorganization processes on two-dimensional cluster-cluster aggregation. Journal of Colloid and Interface Science 112 187194CrossRefGoogle Scholar
Meakin, P., Vicsek, T. & Family, F. 1985 Dynamic cluster-size distribution in cluster-cluster aggregation: effects of cluster diffusivity. Physical Review B 31, 564569CrossRefGoogle ScholarPubMed
Weitz, D. A., Lin, M. Y. & Sandroff, C. J. 1985 Colloidal aggregation revisited: new insights based on fractal structure and surface-enhanced Raman scattering. Surface Science 158 147164CrossRefGoogle Scholar
Witten, T. A. & Sander, L. M. 1981 Diffusion-limited aggregation, a kinetic critical phenomenon. Physical Review Letters 47 14001403CrossRefGoogle Scholar