This article is devoted to the study of the tip shape of dendritic crystals grown from a supercooled liquid. The recently developed theory (Alexandrov & Galenko 2020 Phil. Trans. R. Soc. A378, 20190243. (doi:10.1098/rsta.2019.0243)), which defines the shape function of dendrites, was tested against computational simulations and experimental data. For a detailed comparison, we performed calculations using two computational methods (phase-field and enthalpy-based methods), and also made a comparison with experimental data from various research groups. As a result, it is shown that the recently found shape function describes the tip region of dendritic crystals (at the crystal vertex and some distance from it) well.

This article is part of the theme issue ‘Transport phenomena in complex systems (part 1)’.

本文致力于研究从过冷液体中生长的树枝状晶体的尖端形状。最近开发的理论 (Alexandrov & Galenko 2020 Phil. Trans. R. Soc. A 378 , 20190243. (doi:10.1098/rsta.2019.0243)) 定义了枝晶的形状函数，并针对计算模拟和实验数据进行了测试。为了进行详细比较，我们使用两种计算方法（基于相场和基于焓的方法）进行了计算，并与来自各个研究小组的实验数据进行了比较。结果表明，最近发现的形状函数很好地描述了树枝状晶体的尖端区域（在晶体顶点处，并与它有一定距离）。

本文是主题问题“复杂系统中的传输现象（第 1 部分）”的一部分。