Sufficient Condition for a Compact Local Minimality of a Lattice
Statistical Mechanics
2015-11-16 v2 Analysis of PDEs
Abstract
We give a sufficient condition on a family of radial parametrized long-range potentials for a compact local minimality of a given -dimensional Bravais lattice for its total energy of interaction created by each potential. This work is widely inspired by the paper of F. Theil about two dimensional crystallization.
Keywords
Cite
@article{arxiv.1505.08047,
title = {Sufficient Condition for a Compact Local Minimality of a Lattice},
author = {Laurent Bétermin},
journal= {arXiv preprint arXiv:1505.08047},
year = {2015}
}