Title: A numerical study of the F-model with domain-wall boundaries,
Abstract: We perform a numerical study of the F-model with domain-wall boundary
conditions. Various exact results are known for this particular case of the
six-vertex model, including closed expressions for the partition function for
any system size as well as its asymptotics and leading finite-size corrections.
To complement this picture we use a full lattice multi-cluster algorithm to
study equilibrium properties of this model for systems of moderate size, up to
L=512. We compare the energy to its exactly known large-L asymptotics. We
investigate the model's infinite-order phase transition by means of finite-size
scaling for an observable derived from the staggered polarization in order to
test the method put forward in our recent joint work with Duine and Barkema. In
addition we analyse local properties of the model. Our data are perfectly
consistent with analytical expressions for the arctic curves. We investigate
the structure inside the temperate region of the lattice, confirming the
oscillations in vertex densities that were first observed by Sylju{\aa}sen and
Zvonarev, and recently studied by Lyberg et al. We point out
'(anti)ferroelectric' oscillations close to the corresponding frozen regions as
well as 'higher-order' oscillations forming an intricate pattern with
saddle-point-like features.