3 papers
math.AP2017
Motion of discrete interfaces in low-contrast random environments
Matthias Ruf
We study the asymptotic behavior of a discrete-in-time minimizing movement scheme for square lattice interfaces when both the lattice spacing and the time step vanish. The motion i…
math.AP2016
On global and local minimizers of prestrained thin elastic rods
Marco Cicalese, Matthias Ruf, Francesco Solombrino
We study the stable configurations of a thin three-dimensional weakly prestrained rod subject to a terminal load as the thickness of the section vanishes. By -convergence we der…
math-ph2015
Chirality transitions in frustrated -valued spin systems
Marco Cicalese, Matthias Ruf, Francesco Solombrino
We study the discrete-to-continuum limit of the helical XY -spin system on the lattice . We scale the interaction parameters in order to reduce the model to…