The spontaneous formation of a crystal phase is one of the most common and beautiful pattern formation mechanisms in nature. Different instabilities in the crystal interface may lead to the growth of ramified structures, known as dendritic crystal growth. In this work, we use a Phase Field Model and numerical simulations to study 2D dendritic growth on curved surfaces. We show how the degree of ramification of a growing nucleus is modified by the underlying curvature of the substrate.

中文翻译：

---

球面树突生长的相场建模

晶相的自发形成是自然界中最常见和最美丽的图案形成机制之一。晶体界面中的不同不稳定性可能导致枝状结构的生长，称为树枝状晶体生长。在这项工作中，我们使用相场模型和数值模拟来研究曲面上的二维树枝状生长。我们展示了如何通过底物的下层曲率来修饰不断增长的原子核的分支程度。