二维平面上正多边形和星形多边形的随机堆积
Random packing of regular polygons and star polygons on a flat two-dimensional surface
摘要：
本文用随机顺序吸附算法研究了二维平面上无向正多边形和星形多边形的随机堆积问题。对所得结果进行了分析，确定了饱和随机堆积率及其密度自相关函数。此外，堆积生长的动力学和可用的表面功能进行了测量。在一般情况下，星给出较低的包装比多边形，但是，当顶点的数量是足够大的，这两种形状的方法磁盘，因此，他们的包装性能再现已知的结果磁盘。
英文摘要：
Random packing of unoriented regular polygons and star polygons on a two-dimensional flat, continuous surface is studied numerically using random sequential adsorption algorithm. Obtained results are analyzed to determine saturated random packing ratio as well as its density autocorrelation function. Additionally, the kinetics of packing growth and available surface function are measured. In general, stars give lower packing ratios than polygons, but, when the number of vertexes is large enough, both shapes approach disks and, therefore, properties of their packing reproduce already known results for disks.
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。
