Radzvilavičius Arūnas
CoMPLEX, University College London, Gower Street, London WC1E 6BT, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 1):051111. doi: 10.1103/PhysRevE.86.051111. Epub 2012 Nov 9.
We present a theoretical polygon construction analysis of two-dimensional melting and freezing transitions in many-particle Yukawa systems. Two-dimensional melting transitions can be characterized as proliferation of geometrical defects--nontriangular polygons, obtained by removing unusually long bonds in the triangulation of particle positions. A liquid state is characterized by the temperature-independent number of quadrilaterals and linearly increasing number of pentagons. We analyze specific types of vertices, classified by the type and distribution of polygons surrounding them, and determine temperature dependencies of their concentrations. Solid-liquid phase transitions are followed by the peaks in the abundances of certain types of vertices.
我们给出了多粒子 Yukawa 系统中二维熔化和凝固转变的理论多边形构造分析。二维熔化转变可表征为几何缺陷——非三角形多边形的增殖，这些多边形是通过去除粒子位置三角剖分中异常长的键而得到的。液态的特征是四边形数量与温度无关，五边形数量呈线性增加。我们分析了特定类型的顶点，根据围绕它们的多边形的类型和分布进行分类，并确定它们浓度的温度依赖性。固液相变之后是某些类型顶点丰度的峰值。
