18 citations · 60 across the 6 of their papers we have counts for
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math-ph2016★ 2 cited
Local variational study of 2d lattice energies and application to Lennard-Jones type interactions
Laurent Bétermin
In this paper, we focus on finite Bravais lattice energies per point in two dimensions. We compute the first and second derivatives of these energies. We prove that the Hessian at…
math-ph2016
Local optimality of cubic lattices for interaction energies
Laurent Bétermin
We study the local optimality of Simple Cubic, Body-Centred-Cubic and Face-Centred-Cubic lattices among Bravais lattices of fixed density for some finite energy per point. Followin…