论文标题

大量分散胶体系统的沉积路径理论

Sedimentation path theory for mass-polydisperse colloidal systems

论文作者

Eckert, Tobias, Schmidt, Matthias, Heras, Daniel de las

论文摘要

多分散性和引力场的存在本质上是任何胶体实验的固有的。虽然几项理论作品集中在多分散性对胶体系统的块相行为的影响上,但对重力场对多分散胶体悬浮液的影响知之甚少。我们在这里扩展了沉积路径理论,以研究大群分散胶体系统的沉积 - 扩散平衡 - 颗粒具有不同的浮力质量,但它们却是相同的。该模型有助于理解沉积实验中重力与多分散性之间的相互作用。由于该理论可以应用于浮力质量的任何母体分布,因此也可用于研究单分散胶体系统的沉积。我们发现,质量分散性在密度匹配的胶体系统中具有很大的影响,胶体颗粒的裸密度等于溶剂密度。为了说明该理论,我们研究了质量分散硬球的悬浮液的沉积扩散平衡中的结晶。

Both polydispersity and the presence of a gravitational field are inherent to essentially any colloidal experiment. While several theoretical works have focused on the effect of polydispersity on the bulk phase behavior of a colloidal system, little is known about the effect of a gravitational field on a polydisperse colloidal suspension. We extend here sedimentation path theory to study sedimentation-diffusion-equilibrium of a mass-polydisperse colloidal system: the particles possess different buoyant masses but they are otherwise identical. The model helps to understand the interplay between gravity and polydispersity on sedimentation experiments. Since the theory can be applied to any parent distribution of buoyant masses, it can be also used to study sedimentation of monodisperse colloidal systems. We find that mass-polydispersity has a strong influence in colloidal systems near density matching for which the bare density of the colloidal particles equals the solvent density. To illustrate the theory, we study crystallization in sedimentation-diffusion-equilibrium of a suspension of mass-polydisperse hard spheres.

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