33 citations · 128 across the 30 of their papers we have counts for
9 papers · 1 filter
The -clock model: Variational analysis for fast and slow divergence rates of
Marco Cicalese, Gianluca Orlando, Matthias Ruf
We study a nearest neighbors ferromagnetic spin system on the square lattice in which the spin field is constrained to take values in a discretization of the unit circle consisting…
The antiferromagnetic XY model on the triangular lattice: topological singularities
Annika Bach, Marco Cicalese, Leonard Kreutz +1
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…
Emergence of concentration effects in the variational analysis of the -clock model
Marco Cicalese, Matthias Ruf, Gianluca Orlando
We investigate the relationship between the -clock model (also known as planar Potts model or -model) and the model (at zero temperature) through a -conver…
Coarse graining and large- behavior of the -dimensional -clock model
Marco Cicalese, Gianluca Orlando, Matthias Ruf
We study the asymptotic behavior of the -clock model, a nearest neighbors ferromagnetic spin model on the -dimensional cubic -lattice in which the spin field is…
From statistical polymer physics to nonlinear elasticity
Marco Cicalese, Antoine Gloria, Matthias Ruf
A polymer-chain network is a collection of interconnected polymer-chains, made themselves of the repetition of a single pattern called a monomer. Our first main result establishes…
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…