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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
Renormalized energy between fractional vortices with topologically induced free discontinuities on 2-dimensional Riemannian manifolds
Rufat Badal, Marco Cicalese
On a two-dimensional Riemannian manifold without boundary we consider the variational limit of a family of functionals given by the sum of two terms: a Ginzburg-Landau and a perime…