论文标题
Voronoi链，块和簇在干扰的方格中
Voronoi chains, blocks, and clusters in perturbed square lattices
论文作者
论文摘要
扰动的晶格为研究许多物理系统提供了简单的模型。在本文中，我们研究了在扰动的方形晶格中具有规定的组合特征的Voronoi链，块和群集的分布，从而推广了早期的工作。特别是，我们获得了在正方形阶段存在六角形区域的分析结果。考虑到与高温晶体以及与非平衡相变的连接。在附录中，我们简要考虑了该系统的站点渗透阈值。
Perturbed lattices provide simple models for studying many physical systems. In this paper we study the distribution of Voronoi chains, blocks, and clusters with prescribed combinatorial features in the perturbed square lattice, generalizing earlier work. In particular, we obtain analytic results for the presence of hexagonally-ordered regions within a square-ordered phase. Connections to high-temperature crystals and to non-equilibrium phase transitions are considered. In an appendix, we briefly consider the site-percolation threshold for this system.
