>Based on theoretical analysis, the effect of polydispersity on particle penetration into polydisperse polymer brushes is investigated. Three different polydispersities'/> Particle Penetration into Polydisperse Polymer Brushes: A Theoretical Analysis
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Particle Penetration into Polydisperse Polymer Brushes: A Theoretical Analysis

机译：颗粒渗透到多分散聚合物刷子中：理论分析

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>Based on theoretical analysis, the effect of polydispersity on particle penetration into polydisperse polymer brushes is investigated. Three different polydispersities representing sharp, moderate, and extremely wide chain length distributions are chosen, since the corresponding explicit expressions of brush density at these polydispersities are available. To simplify the discussion, this study is restricted to spherical particles of small size which ensure that the particle insertion only causes local conformational perturbations. By analyzing the particle distribution, it is found that polydispersity always facilitates particle penetration. This prediction is confirmed by analyzing the surface fluctuations of the brushes. Interestingly, uniform scaling relations are observed for particles penetrating into monodisperse and moderately polydisperse brushes. The uniformity predicted by monodisperse and moderately polydisperse brushes originates from the same asymptotic behavior of their densities approaching the brush edge. This indicates that polydispersity brings significant influence only at high polydispersities.
机译： 基于理论分析，研究了研究多分散性对颗粒渗透到多分散聚合物刷中的影响。选择三种不同的多分散性，代表夏普，中等和极宽的链长分布，因为这些多分散性的相应明显的刷子密度表达。为了简化讨论，该研究仅限于小尺寸的球形颗粒，其确保颗粒插入仅导致局部构象扰动。通过分析颗粒分布，发现多分散性总是促进颗粒渗透。通过分析刷子的表面波动来确认该预测。有趣的是，观察到渗透到单分散和中等多分散刷的颗粒的颗粒的均匀缩放关系。通过单分散和中等多分散刷预测的均匀性来自其密度接近刷缘的密度相同的渐近行为。这表明多分散性仅对高多分散性带来显着的影响。

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