2 papers
math.AP2024
Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit
Janusz Ginster, Melanie Koser, Barbara Zwicknagl
We study pattern formation within the - - spin model on a two-dimensional square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin field…
math.AP2024
A scaling law for a model of epitaxially strained elastic films with dislocations
Lukas Abel, Janusz Ginster, Barbara Zwicknagl
A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and n…