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Internal structure of colloidal aggregates.

A O Ivanov¹, A Y Zubarev

¹Department of Mathematical Physics, Urals State University, 620083 Ekaterinburg, Russia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 3, 2001

Summary

A new nonlinear model describes colloidal aggregate growth, revealing a dense core and fractal structure. The fractal dimension is universally 2.5, consistent with experimental data for aggregation phenomena.

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Area of Science:

Colloid and Surface Science
Materials Science
Physical Chemistry

Background:

Understanding the growth of colloidal aggregates is crucial for various applications.
Diffusion-limited aggregation (DLA) is a key process in forming these structures.
Previous models often simplify the complex dynamics of particle interactions and growth.

Purpose of the Study:

To develop a nonlinear model for three-dimensional (3D) colloidal aggregate growth.
To investigate the role of internal combination/recombination balance in aggregate formation.
To determine the fractal dimension of the resulting colloidal clusters.

Main Methods:

Development of a nonlinear mathematical model for diffusion-limited growth.
Inclusion of internal combination and recombination balance conditions.
Analysis of the model's solution to describe aggregate structure and particle concentration.

Main Results:

The model predicts a colloidal aggregate with a dense central core and a looser outer region.
Particle concentration in the outer region follows a power-law decay, indicative of fractal properties.
A universal fractal dimension (d(f)) of 2.5 was obtained, independent of system specifics.

Conclusions:

The developed nonlinear model accurately describes 3D colloidal aggregate growth.
The universal fractal dimension of 2.5 aligns well with experimental and numerical findings.
This model provides a valuable tool for analyzing diverse aggregation phenomena.

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