Sufficient Condition for a Compact Local Minimality of a Lattice
classification
❄️ cond-mat.stat-mech
math.AP
keywords
compactconditiondimensionallatticelocalminimalitysufficientbravais
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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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