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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
On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations
Janusz Ginster, Angkana Rüland, Antonio Tribuzio +1
We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling…