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arXiv · 1505.08047

Sufficient Condition for a Compact Local Minimality of a Lattice

Laurent Bétermin
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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.

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Laurent Bétermin. 2015-11-13. Sufficient Condition for a Compact Local Minimality of a Lattice. https://arxiv.org/abs/1505.08047

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