二维短程对势原子组态的极小化：Wulff形结晶
Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape
摘要：
研究了通过短程对势相互作用的二维原子系统的基态构型。由于粒子的数量趋于无穷大，我们表明，低能量配置收敛到一个宏观集群的有限表面积和恒定的密度，后者是由密度的原子每单位体积的三角形晶格。在Heitmann-Radin粘性盘势和精确基态的特殊情况下，我们证明了宏观团簇具有（唯一的）Wulff形状。这是通过显示，原子能，减去大块部分和重新缩放后，伽玛收敛到一个宏观各向异性表面能。
英文摘要：
We investigate ground state configurations of atomic systems in two dimensions interacting via short range pair potentials. As the number of particles tends to infinity, we show that low-energy configurations converge to a macroscopic cluster of finite surface area and constant density, the latter being given by the density of atoms per unit volume in the triangular lattice. In the special case of the Heitmann-Radin sticky disc potential and exact ground states, we show that the macroscopic cluster has a (unique) Wulff shape. This is done by showing that the atomistic energy, after subtracting off a bulk part and re-scaling, Gamma-converges to a macroscopic anisotropic surface energy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
