论文标题
在剪切条件下，电荷稳定的胶体系统的配对相关函数
Pair correlation function of charge-stabilized colloidal systems under sheared conditions
论文作者
论文摘要
使用最近在[L. Banetta和A. Zaccone，物理。 Rev. E 99，052606（2019）]为中等至高值的稳态Smoluchowski方程求解；分析理论适用于稀释条件。在实体角度的延伸和压缩扇区中，通过排斥Yukawa（或Deby-Hückel）相互作用的胶体相关的胶体相关函数揭示了丰富的身体行为。在压缩部门中，接近接触的峰值是由于流动的趋势作用，并在增加了Yukawa电位的耦合强度参数$γ$后减少。在增加筛选（Debye）长度$κ^{ - 1} $后，次级峰出现，在较大的分离距离处显示，略小于Debye的长度。虽然该次级峰会生长，但接触接近的主要峰值减小。次要峰归因于压缩部门流动的对流（有吸引力）作用与静电引起的排斥之间的竞争。在延伸扇区中，预测接触近的耗竭层（配对函数相同），该损耗在增加$γ$或$γ$或$κ^{ - 1} $时增加了宽度。
The pair correlation function of charge stabilized colloidal particles under strongly sheared conditions is studied using the analytical intermediate asymptotics method recently developed in [L. Banetta and A. Zaccone, Phys. Rev. E 99, 052606 (2019)] to solve the steady-state Smoluchowski equation for medium to high values of the Péclet number; the analytical theory works for dilute conditions. A rich physical behaviour is unveiled for the pair correlation function of colloids interacting via the repulsive Yukawa (or Debye-Hückel) potential, in both the extensional and compressional sectors of the solid angle. In the compression sector, a peak near contact is due to the advecting action of the flow and decreases upon increasing the coupling strength parameter $Γ$ of the Yukawa potential. Upon increasing the screening (Debye) length $κ^{-1}$, a secondary peak shows up, at a larger separation distance, slightly less than the Debye length. While this secondary peak grows, the primary peak near contact decreases. The secondary peak is attributed to the competition between the advecting (attractive-like) action of the flow in the compressions sector, and the repulsion due to the electrostatics. In the extensional sectors, a depletion layer (where the pair-correlation function is identically zero) near contact is predicted, the width of which increases upon increasing either $Γ$ or $κ^{-1}$.
