Sufficient Condition for a Compact Local Minimality of a Lattice

Abstract

We give a sufficient condition on a family of radial parametrized long-range potentials for a compact local minimality of a given $d$-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.

References in corpus (1)

• Designed Interaction Potentials via Inverse Methods for Self-Assembly