Numerical study of the F model with domain-wall boundaries
Artikel i vetenskaplig tidskrift, 2017

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 multicluster 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 analyze 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 Syljuåsen 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.

Domain wall boundary conditions

Partition functions

Finite-size corrections

Equilibrium properties

Finite size scaling

Analytical expressions

Six vertex model

Författare

Rick Keesman

Instituut-Lorentz for Theoretical Physics, Leiden

Jules Lamers

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Physical Review E

24700045 (ISSN) 24700053 (eISSN)

Vol. 95 5 052117

Ämneskategorier

Teknisk mekanik

Beräkningsmatematik

Annan fysik

DOI

10.1103/PhysRevE.95.052117

PubMed

28618633

Mer information

Senast uppdaterat

2020-02-21