Abstract The Smoluchowski’s coagulation rate coefficient (kc-S) has been used for decades notwithstanding its predictions are not always consistent with experimental data. In this work, kc-S and Herrera-Ordonez (kc-HO) models, were modified and combined to obtain a hybrid equation kc-h for the rate coefficient of rapid coagulation. Modification of kc-S consisted in adapting the concepts of diffusion-reaction, such as effectiveness factor F, to the case of particle coagulation which is considered a pseudo-reaction. Unlike the deterministic and stochastic approaches, the hybrid model kc-h can fit experimental data for the effects of size and concentration of particles, on kc, using only one adjustable parameter value for all particle sizes. The higher predictability of kc-h suggests that their assumptions are more realistic. The behavior of F indicates that the fusion of relatively large particles is more effective than that of small particles to produce the sink effect.

中文翻译：

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胶体系统中的凝结率系数：混合随机-确定性理论

摘要 Smoluchowski 的凝血率系数 (kc-S) 已经使用了几十年，尽管它的预测并不总是与实验数据一致。在这项工作中，对 kc-S 和 Herrera-Ordonez (kc-H2O) 模型进行了修改和组合，以获得快速凝固速率系数的混合方程 kc-h。kc-S 的改进在于将扩散反应的概念（例如有效性因子 F）应用于被认为是假反应的粒子凝结的情况。与确定性和随机性方法不同，混合模型 kc-h 可以拟合实验数据，以了解粒子的大小和浓度对 kc 的影响，只需对所有粒子大小使用一个可调参数值。kc-h 的更高可预测性表明他们的假设更现实。