Phase separation in the six-vertex model with a variety of boundary conditions

TL;DR

This paper investigates phase separation phenomena in the six-vertex model under various boundary conditions using adapted numerical algorithms, revealing how boundary modifications influence the model's behavior.

Contribution

It introduces numerical analysis of the six-vertex model with new boundary conditions, extending previous algorithms to explore phase separation effects.

Findings

Demonstrates phase separation patterns under different boundary conditions

Adapts existing algorithms for new boundary scenarios

Provides numerical insights into boundary effects on the six-vertex model

Abstract

We present numerical results for the six-vertex model with a variety of boundary conditions. Adapting an algorithm proposed by Allison and Reshetikhin for domain wall boundary conditions, we examine some modifications of these boundary conditions. To be precise, we discuss partial domain wall boundary conditions, reflecting ends and half turn boundary conditions (domain wall boundary conditions with half turn symmetry).