We present a reversible cluster aggregation model for 2-D macromolecules represented by line segments in 2-D; and, we use it to describe the aggregation process of functionalized graphene particles in an aqueous SDS surfactant solution. The model produces clusters with similar sizes and structures as a function of SDS concentration in agreement with experiments and predicts the existence of a critical surfactant concentration (C_crit) beyond which thermodynamically stable graphene suspensions form. Around C_crit, particles form dense clusters rapidly and sediment. At C ≪ C_crit, a contiguous ramified network of graphene gel forms which also densifies, but at a slower rate, and sediments with time. The deaggregation–reaggregation mechanism of our model captures the restructuring of the large aggregates towards a graphite-like structure for the low SDS concentrations. © 2017 American Institute of Chemical Engineers AIChE J, 2017

中文翻译：

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石墨烯悬浮液的可逆团簇聚集和生长模型

我们提出了由二维线段代表的二维高分子的可逆簇聚集模型；并且，我们用它来描述功能化石墨烯颗粒在SDS表面活性剂水溶液中的聚集过程。该模型产生的团簇具有与SDS浓度成函数的相似大小和结构，与实验一致，并预测了临界表面活性剂浓度（C _crit）的存在，超过此浓度就会形成热力学稳定的石墨烯悬浮液。周围Ç_爆击，颗粒形成迅速致密簇和沉淀物。在C≪ C_暴击，石墨烯凝胶形式的一个连续的分叉网络，它也致密，但速度较慢，并随时间沉淀。我们模型的解聚-再聚集机制捕获了低SDS浓度下大聚集体向石墨状结构的重构。©2017美国化学工程师学会AIChE J，2017