论文标题
远程相互作用系统中的BCC晶格
The BCC lattice in a long range interaction system
论文作者
论文摘要
虽然六角形晶格在两个维度上无处不在，但通常在三个维度中观察到体内的立方晶格和面部为中心的晶格。由二嵌段共聚物理论促进的几何变异问题由短距离相互作用能和远距离相互作用能量组成。在三个维度中，当远距离相互作用由非局部操作员$（ - δ）^{ - 3/2} $给出时，证明体形中心的立方晶格是首选结构。
While the hexagonal lattice is ubiquitous in two dimensions, the body centered cubic lattice and the face centered lattice are both commonly observed in three dimensions. A geometric variational problem motivated by the diblock copolymer theory consists of a short range interaction energy and a long range interaction energy. In three dimensions, and when the long range interaction is given by the nonlocal operator $(-Δ)^{-3/2}$, it is proved that the body centered cubic lattice is the preferred structure.
