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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2015
- DOI:
- 10.48550/arXiv.1505.08047
- arXiv:
- arXiv:1505.08047
- Bibcode:
- 2015arXiv150508047B
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Mathematics - Analysis of PDEs