标题： 各向异性固态脱湿的相场建模 on 图案化基底 显示英文标题

标题： Phase-field Modelling of Anisotropic Solid-State Dewetting on Patterned Substrates

摘要： 我们提出了一种相场模型，用于模拟各向异性晶体薄膜在非平面基底上的固态脱湿现象。 该模型利用两个序参数，在二维和三维情况下隐式地追踪晶体自由表面和基底轮廓。 首先，我们通过将平面基底的数值模拟结果与传统相场方法的结果进行比较，并评估其收敛到Winterbottom构造预测的平衡形状的情况，从而验证了该模型。 随后，我们研究了非平面几何结构，考察了表面能各向异性以及控制接触角的参数的综合影响。 我们的研究结果表明，曲面支撑上的晶体粒子会失去自相似性，并表现出与体积相关的表观接触角，凸形与凹形轮廓呈现出相反的趋势。 此外，我们还研究了刻面粒子在曲率变化的基底上的迁移行为。 将该模型应用于球形和凹坑图案基底等实验相关情况，展示了多种行为，这些行为可用于引导纳米结构的自组装，从有序纳米颗粒到具有复杂拓扑结构的互连网络。 显示英文摘要

摘要： We present a phase-field model for simulating the solid-state dewetting of anisotropic crystalline films on non-planar substrates. This model exploits two order parameters to trace implicitly the crystal free surface and the substrate profile in both two and three dimensions. First, we validate the model by comparing numerical simulation results for planar substrates with those obtained by a conventional phase-field approach and by assessing the convergence toward the equilibrium shape predicted by the Winterbottom construction. We then explore non-planar geometries, examining the combined effects of surface-energy anisotropies and parameters controlling the contact angle. Our findings reveal that crystalline particles on curved supports lose self-similarity and exhibit a volume-dependent apparent contact angle, with opposite trends for convex versus concave profiles. Additionally, we investigate the migration of faceted particles on substrates with variable curvature. Applying this model to experimentally relevant cases like spheroidal and pit-patterned substrates demonstrates various behaviors that could be leveraged to direct self-assembly of nanostructures, from ordered nanoparticles to interconnected networks with complex topology.