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Monte Carlo simulation of particle aggregation and gelation: II. Pair correlation function and structure factor
M Rottereau1, J C Gimel, T Nicolai
1Polyméres Colloïdes Interfaces, UMR CNRS, Université du Maine, F-72085 Le Mans cedex 9, France.
The European Physical Journal. E, Soft Matter
|November 2, 2004
Summary
Monte Carlo simulations reveal fractal structures in particle gels at low concentrations. The gel
Area of Science:
- Condensed matter physics
- Soft matter physics
- Computational physics
Background:
- Diffusion-limited cluster aggregation (DLCA) and gelation are fundamental processes in soft matter.
- Understanding the structural evolution of particle gels is crucial for material design.
Purpose of the Study:
- To investigate the structural properties of particle gels formed via DLCA and gelation.
- To explore the influence of volume fraction and time on gel microstructure.
Main Methods:
- Lattice and off-lattice Monte Carlo simulations were employed.
- Analysis of the pair correlation function (g(r)) and structure factor (S(q)).
Main Results:
- At low volume fractions (<5%), gels exhibit fractal structures with a fractal dimension (d(f)) of 1.8.
- The pair correlation function shows a minimum at the correlation length (xi).
- A universal scaling relationship was observed for the cutoff function of g(r) during aggregation.
Conclusions:
- Gel structure is dependent on volume fraction, with fractal behavior at low concentrations.
- Connectivity dominates structure at low volume fractions, while excluded-volume interactions prevail at high concentrations.