Citation: XIONG Hai-Ling, YANG Zhi-Min, LI Hang. Coupling Effects of Diffusive Model and Sticking Model on Aggregation Kinetics of Colloidal Particles：A Monte Carlo Simulation Study[J]. Acta Physico-Chimica Sinica, ;2014, 30(3): 413-422. doi: 10.3866/PKU.WHXB201401203 shu

Coupling Effects of Diffusive Model and Sticking Model on Aggregation Kinetics of Colloidal Particles：A Monte Carlo Simulation Study

XIONG Hai-Ling ^1,2, ,
YANG Zhi-Min ^3,4 ,
LI Hang ^2,3

1.
1 College of Computer and Information Science, Southwest University, Chongqing 400715, P. R. China;
2 Chongqing Key Laboratory of Soil Multi-scale Interfacial Process, Southwest University, Chongqing 400715, P. R. China;
3 College of Resources and Environment, Southwest University, Chongqing 400715, P. R. China;
4 Key Laboratory of Eco-environments in Three rges Reservoir Region (Ministry of Education), Southwest University, Chongqing 400715, P. R. China

Received Date: 18 November 2013
Available Online: 20 January 2014
Fund Project: 国家自然科学基金(41271292)资助项目 (41271292)

The effects of the diffusive (D_s(γ)=D₀×s^γ) and sticking (P_ij(σ)=P₀×(i×j)^σ) models on the colloidal suspension evolution, cluster-size distribution and scaling, time dependence of weight-averaged cluster size, and the fractal dimensions of aggregates are investigated. Simulations of the aggregation kinetics are carried out for a wide range of diffusivity exponent γ and sticking-probability exponent σ values. γ<0 and σ >0 have similar effects on the colloidal aggregation kinetics. The mechanism of transition from slow to fast aggregation is quantitatively analyzed. The physical significance of a cluster-cluster aggregation model, leading to a diffusion-limited aggregation model, is proposed. γ >>0 corresponds to the directional movement of clusters or primary particles, rather than random Brownian motion. The driving force for this directional movement may be a strong long-range van der Waals force, electric force of the largest cluster, or external force from the boundary. σ<<0 decreases the aggregation velocity of colloidal particles, with the evolution of the colloidal suspension. This may correspond to the largest cluster being a repulsive center, and a repulsive force existing between clusters or primary particles. The simulation confirms particle aggregation involving the weight-averaged size growing exponentially at first, but obeying a power law later. The aggregation kinetics is a positive-feedback nonlinear process as σ >0, but a negative-feedback process as σ<0.
- Diffusive model,
- Sticking model,
- Diffusivity exponent,
- Sticking-probability exponent,
- Aggregation kinetics,
- Monte Carlo simulation
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