We study the discrete-to-continuum variational limit of the J_1-J_3 spin model on the square
lattice in the vicinity of the ferromagnet/helimagnet transition point as the lattice spacing …

We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the
two-dimensional triangular lattice in the vortex regime. Within this regime, the spin system …

In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining
result for a next-to-nearest neighbor lattice model of a simple crystal. We show that the …

In this work we consider the Landau–de Gennes model for liquid crystals with an external
magnetic field to model the occurrence of the Saturn ring effect under the assumption of …

We study variational models for dislocations in three dimensions in the line-tension scaling.
We present a unified approach which allows to treat energies with subquadratic growth at …

We study pattern formation within the $ J_1 $-$ J_3 $-spin model on a two-dimensional
square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin …

We study a nearest neighbors ferromagnetic classical spin system on the square lattice in
which the spin field is constrained to take values in a discretization of the unit circle …

We study a variational model which combines features of the Ginzburg–Landau model in 2D
and of the Mumford–Shah functional. As in the classical Ginzburg–Landau theory, a …

We study the energy of a ferromagnetic/antiferromagnetic frustrated spin system where the
spin takes values on two disjoint circles of the 2-dimensional unit sphere. This analysis will …

We investigate the relationship between the N‐clock model (also known as planar Potts
model or‐model) and the XY model (at zero temperature) through a Γ‐convergence analysis …