Adamczyk Z, Siwek B, Zembala M, Weroński P
Institute of Catalysis and Surface Chemistry, Polish Academy of Sciences, ul.Niezapominajek 1, Cracow, 30-239, Poland
J Colloid Interface Sci. 1997 Jan 1;185(1):236-44. doi: 10.1006/jcis.1996.4540.
Random sequential adsorption (RSA) of polydisperse mixtures of hard and interacting spherical particles was analyzed. Theoretical results were derived by performing numerical MC simulations both for Gaussian and for continuous distributions of particle sizes characterized by standard deviations below 20%. Adsorption kinetics of these mixtures was determined for a broad range of times showing that for tau < 5 the influence of polydispersity was rather minor for both Gauss and continuous particle size distributions. More significant deviations were predicted for the asymptotic adsorption regime close to jamming. In the case of continuous distributions this limiting kinetics could be described by the power law dependence thetainfinity - theta approximately tau-1/3 in accordance with the predictions of G. Tarjus and J. Talbot (1991, J. Phys. Math Gen. 24, L913). The jamming concentration thetainfinity for hard (noninteracting) particles was found to increase proportionally to sigma;. It was also shown that the polydispersity of particle mixtures can exert an effect on the structure of the adsorption layer (characterized in terms of the pair correlation function). The broadening of this function was confirmed experimentally by using colloid suspensions of spherical particles (polystyrene latex) characterized by sigma; = 6-10%.
对硬球颗粒和相互作用球颗粒的多分散混合物的随机顺序吸附(RSA)进行了分析。通过对粒径呈高斯分布和连续分布(标准差低于20%)的情况进行数值蒙特卡罗模拟得出了理论结果。确定了这些混合物在很宽时间范围内的吸附动力学,结果表明,对于τ<5,多分散性对高斯分布和连续粒径分布的影响都相当小。对于接近堵塞的渐近吸附状态,预测会有更显著的偏差。在连续分布的情况下,根据G. Tarjus和J. Talbot(1991,《物理数学杂志》24,L913)的预测,这种极限动力学可以用幂律关系θ∞ - θ ≈ τ^(-1/3)来描述。发现硬(非相互作用)颗粒的堵塞浓度θ∞与σ成正比。还表明颗粒混合物的多分散性会对吸附层的结构产生影响(用对关联函数来表征)。通过使用σ = 6 - 10%的球形颗粒(聚苯乙烯胶乳)胶体悬浮液,实验证实了该函数的展宽。