The pair correlation function of charge stabilized colloidal particles under strongly sheared conditions is studied using the analytical intermediate asymptotics method recently developed in Banetta and 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 .

中文翻译：

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剪切条件下电荷稳定胶体体系的对相关函数

第二个峰出现在更大的分离距离处，略小于德拜长度。当这个次要峰增长时，接近接触的主要峰减少。第二个峰值归因于压缩扇区中流动的对流（类似吸引）作用与静电引起的排斥之间的竞争。在扩展扇区中，预测接近接触的耗尽层（其中对相关函数相同为零），其宽度随着 Γ 或 κ - 1 的增加而增加。以及静电引起的排斥。在扩展扇区中，预测接近接触的耗尽层（其中对相关函数相同为零），其宽度随着 Γ 或 κ - 1 的增加而增加。以及静电引起的排斥。在扩展扇区中，预测接近接触的耗尽层（其中对相关函数相同为零），其宽度随着 Γ 或 κ - 1 的增加而增加。