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math-ph2021
Lattice ground states for Embedded-Atom Models in 2D and 3D
Laurent Bétermin, Manuel Friedrich, Ulisse Stefanelli
The Embedded-Atom Model (EAM) provides a phenomenological description of atomic arrangements in metallic systems. It consists of a configurational energy depending on atomic positi…
math-ph2020
On the optimality of the rock-salt structure among lattices with charge distributions
Laurent Bétermin, Markus Faulhuber, Hans Knüpfer
The goal of this work is to investigate the optimality of the -dimensional rock-salt structure, i.e., the cubic lattice of volume with an alternation o…
math-ph2018
Minimal Soft Lattice Theta Functions
Laurent Bétermin
We study the minimality properties of a new type of "soft" theta functions. For a lattice , a -periodic distribution of mass and an other mass …