ON THE OPTIMALITY OF THE FCC LATTICE FOR SOFT SPHERE PACKING

被引：7
|
作者：
Edelsbrunner, Herbert [1 ]
Iglesias-Ham, Mabel [1 ]
机构：
[1] IST Austria, A-3400 Klosterneuburg, Austria
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2018年 / 32卷 / 01期
基金：
奥地利科学基金会;
关键词：
packing and covering; soft density; lattice configurations; Voronoi domains; Brillouin zones; DOMAINS;
D O I：
10.1137/16M1097201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by biological questions, we study configurations of equal spheres that neither pack nor cover. Placing their centers on a lattice, we define the soft density of the configuration by penalizing multiple overlaps. Considering the 1-parameter family of diagonally distorted 3-dimensional integer lattices, we show that the soft density is maximized at the FCC lattice.
引用
收藏
页码：750 / 782
页数：33
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