The BCC lattice in a long range interaction system
Analysis of PDEs
2022-08-02 v1
Abstract
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 , it is proved that the body centered cubic lattice is the preferred structure.
Keywords
Cite
@article{arxiv.2208.00528,
title = {The BCC lattice in a long range interaction system},
author = {Xiaofeng Ren and Juncheng Wei},
journal= {arXiv preprint arXiv:2208.00528},
year = {2022}
}