4 papers
Emergence of rigid Polycrystals from atomistic Systems with general Interactions
Leonard Kreutz, Timo Ziereis
We investigate the formation of polycrystalline structures in a class of particle systems. The atomistic energy is modeled as a sum of particle energies that favor atoms being loca…
Crystallization in the Winterbottom shape and sharp fluctuation laws
Manuel Friedrich, Leonard Kreutz, Ulisse Stefanelli
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring…
Derivation of Kirchhoff-type plate theories for elastic materials with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We rigorously derive a Blake-Zisserman-Kirchhoff theory for thin plates with material voids, starting from a three-dimensional model with elastic bulk and interfacial energy featur…
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories
Luca Briani, Marco Cicalese, Leonard Kreutz
We investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diver…