We present a simple phenomenological model, based on mass conservation arguments, in order to describe aggregation in dense solutions. It has been previously shown that for diffusion-limited processes scattered intensity distributions exhibit a peak at q≠0 which grows in time and moves to smaller and smaller q vectors. According to the model, each aggregate is surrounded by a depletion region whose size depends on the aggregation kinetics. The form factor for such a cluster should satisfy local mass conservation and hence exhibit a pronounced depression at q=0. the initial stages of aggregation, when the clusters are far apart, are accounted on the basis of a form factor alone. The model shows good agreement with the data and also explains the experimental evidence that the peak does not appear in reaction-limited conditions.
Correlation and anticorrelation of fractal aggregates. A model for «spinodal-type» aggregation / M. Carpineti, M. Giglio, V. Degiorgio. - In: NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. D CONDENSED MATTER, ATOMIC, MOLECULAR AND CHEMICAL PHYSICS, BIOPHYSICS. - ISSN 0392-6737. - 16:8(1994), pp. 1243-1246. [10.1007/BF02458807]
Correlation and anticorrelation of fractal aggregates. A model for «spinodal-type» aggregation
M. Carpineti;M. Giglio;
1994
Abstract
We present a simple phenomenological model, based on mass conservation arguments, in order to describe aggregation in dense solutions. It has been previously shown that for diffusion-limited processes scattered intensity distributions exhibit a peak at q≠0 which grows in time and moves to smaller and smaller q vectors. According to the model, each aggregate is surrounded by a depletion region whose size depends on the aggregation kinetics. The form factor for such a cluster should satisfy local mass conservation and hence exhibit a pronounced depression at q=0. the initial stages of aggregation, when the clusters are far apart, are accounted on the basis of a form factor alone. The model shows good agreement with the data and also explains the experimental evidence that the peak does not appear in reaction-limited conditions.Pubblicazioni consigliate
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