颗粒多分散性对微细颗粒在图案化基底上不可逆吸附的影响
Effect of particle polydispersity on the irreversible adsorption of fine particles on patterned substrates
摘要：
我们进行了广泛的蒙特卡罗模拟的图案化基板的细胞内的多分散磁盘的不可逆吸附。该模型捕捉相关功能的不可逆吸附的球形胶体颗粒图案基板上。该图案由（相等的）正方形单元组成，其中吸附可以发生，以正方形晶格的顶点为中心。需要两个独立的无量纲参数来控制图案的几何形状，即，以平均粒径测量的单元尺寸和单元-单元距离。然而，为了描述相图，还需要两个额外的无量纲参数，最小和最大颗粒半径。我们发现，任何两个相邻的区域之间的相变相图只取决于最大和最小的颗粒尺寸，但不对半径的分布函数的形状。我们认为大小分散高达20%的平均半径使用物理动机截断高斯尺寸分布，并专注于制度，吸附颗粒不与那些以前吸附在相邻的细胞表征堵塞的状态结构。这项研究概括了以前的精确关系单分散颗粒占尺寸分散。由于图案的存在，覆盖显示出对小区大小的非单调依赖性。该图案还影响吸附颗粒的半径，其中观察到特别是在高多分散性下的较小半径的优先吸附。
英文摘要：
We performed extensive Monte Carlo simulations of the irreversible adsorption of polydispersed disks inside the cells of a patterned substrate. The model captures relevant features of the irreversible adsorption of spherical colloidal particles on patterned substrates. The pattern consists of (equal) square cells, where adsorption can take place, centered at the vertices of a square lattice. Two independent, dimensionless parameters are required to control the geometry of the pattern, namely, the cell size and cell-cell distance, measured in terms of the average particle diameter. However, to describe the phase diagram, two additional dimensionless parameters, the minimum and maximum particle radii are also required. We find that the transition between any two adjacent regions of the phase diagram solely depends on the largest and smallest particle sizes, but not on the shape of the distribution function of the radii. We consider size dispersions up-to 20% of the average radius using a physically motivated truncated Gaussian-size distribution, and focus on the regime where adsorbing particles do not interact with those previously adsorbed on neighboring cells to characterize the jammed state structure. The study generalizes previous exact relations on monodisperse particles to account for size dispersion. Due to the presence of the pattern, the coverage shows a non-monotonic dependence on the cell size. The pattern also affects the radius of adsorbed particles, where one observes preferential adsorption of smaller radii particularly at high polydispersity.
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