液-液界面吸附自由能的三角形镶嵌方法：面向非凸型胶体
A Triangular Tessellation Scheme for the Adsorption Free Energy at the Liquid-Liquid Interface: Towards Non-Convex Patterned Colloids
摘要：
我们引入了一种新的数值技术，即三角形镶嵌，计算的自由能与一个胶体颗粒在一个平坦的界面上的吸附。这里提出的理论和数值方案足够通用，可以处理具有任意表面图案的非凸片状胶体，其特征在于润湿角，例如，两亲性我们忽略了由于毛细管，静电或重力的界面变形，但该方法可以扩展到考虑这些影响。结果表明，本文所提出的数值方法是准确的，并且具有足够的稳定性，可以应用于比本文所提出的更一般的情况。事实证明，曲面细分方法的优点超过了传统使用的半分析方法，特别是在通用性和适用性方面。
英文摘要：
We introduce a new numerical technique, namely triangular tessellation, to calculate the free energy associated with the adsorption of a colloidal particle at a flat interface. The theory and numerical scheme presented here are sufficiently general to handle non-convex patchy colloids with arbitrary surface patterns characterized by a wetting angle, e.g., amphiphilicity. We ignore interfacial deformation due to capillary, electrostatic, or gravitational forces, but the method can be extended to take such effects into account. It is verified that the numerical method presented is accurate and sufficiently stable to be applied to more general situations than presented in this paper. The merits of the tessellation method prove to outweigh those of traditionally used semi-analytic approaches, especially when it comes to generality and applicability.
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