We study the motion of discrete interfaces driven by ferromagnetic interactions on the two-dimensional triangular lattice by coupling the Almgren, Taylor and Wang minimizing movements approach and a discrete-to-continuum analysis, as introduced by Braides, Gelli and Novaga in the pioneering case of the square lattice. We examine the motion of origin-symmetric convex “Wulfflike” hexagons, i.e. origin-symmetric convex hexagons with sides having the same orientations as those of the hexagonal Wulff shape related to the density of the anisotropic perimeter \(\Gamma\)-limit of the ferromagnetic energies as the lattice spacing vanishes. We compare the resulting limit motion with the corresponding evolution by crystalline curvature with natural mobility.

我们通过结合Almgren，Taylor和Wang最小化运动方法以及离散到连续谱分析来研究二维三角晶格上由铁磁相互作用驱动的离散界面的运动，这是由Braides，Gelli和Novaga在开创性案例中介绍的方格的 我们检查了原点对称凸“ Wulfflike”六边形的运动，即，与对称六边形Wulff形状的边具有相同方向且与各向异性周长\（\ Gamma \） -极限有关的原点对称凸六边形的运动随着晶格间距消失，铁磁能量消失。我们将结果极限运动与具有自然迁移率的晶体曲率相比较。