91 citations · 231 across the 19 of their papers we have counts for
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cond-mat.stat-mech2020
Emergence of rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy
Manuel Friedrich, Leonard Kreutz, Bernd Schmidt
We investigate the emergence of rigid polycrystalline structures from atomistic particle systems. The atomic interaction is governed by a suitably normalized pair interaction energ…
math.AP2020
Geometric linearization of theories for incompressible elastic materials and applications
Martin Jesenko, Bernd Schmidt
We derive geometrically linearized theories for incompressible materials from nonlinear elasticity theory in the small displacement regime. Our nonlinear stored energy densities ma…
math-ph2020
Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in : a sharp scaling law
Edoardo Mainini, Bernd Schmidt
We derive a sharp scaling law for deviations of edge-isoperimetric sets in the lattice from the limiting Wulff shape in arbitrary dimensions. As the number of ele…