3 papers
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 …
math.OC2018
Note on crystallization for alternating particle chains
Laurent Bétermin, Hans Knüpfer, Florian Nolte
We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fi…