Numerical study of the 6-vertex model with domain wall boundary conditions
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
A Markov process is constructed to numerically study the phase separation in the 6-vertex model with domain wall boundary conditions. It is a random walk on the graph where vertices are states and edges are elementary moves. It converges to the Gibbs measure of the 6-vertex model. Our results show clearly that a droplet of "c" vertices is created when Boltzamnn weights are in the antisegnetoelectric region. The droplet is a diamond-like shaped curve with four cusps.
Keywords
Cite
@article{arxiv.cond-mat/0502314,
title = {Numerical study of the 6-vertex model with domain wall boundary conditions},
author = {David Allison and Nicolai Reshetikhin},
journal= {arXiv preprint arXiv:cond-mat/0502314},
year = {2007}
}