扩散模型和凝聚模型耦合作用下胶体凝聚动力学的Monte Carlo模拟研究

doi:10.3866/PKU.WHXB201401203

Abstract

Abstract:

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.

Key words: Diffusive model, Sticking model, Diffusivity exponent, Sticking-probability exponent, Aggregation kinetics, Monte Carlo simulation

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 Phys. -Chim. Sin. 2014, 30(3), 413-422. doi: 10.3866/PKU.WHXB201401203

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

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