11 citations · 34 across the 19 of their papers we have counts for
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cond-mat.mes-hall2022
A proof of finite crystallization via stratification
Leonard Kreutz, Manuel Friedrich
We devise a new technique to prove two-dimensional crystallization results in the square lattice for finite particle systems. We apply this strategy to energy minimizers of configu…
math.AP2022
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices
Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi
We consider a system of hard spheres sitting on the nodes of either the or lattice and interacting via a sticky-disk potential. As tends to in…
math.AP2022★ 5 cited
From atomistic systems to linearized continuum models for elastic materials with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We study an atomistic model that describes the microscopic formation of material voids inside elastically stressed solids under an additional curvature regularization at the discre…