English

The bounded 15-vertex model

Statistical Mechanics 2018-07-23 v1

Abstract

The 15-vertex model of Statistical Mechanics is studied on a square domain with partially oriented boundary. With DWBC the model would reduce to the six-vertex model, but more general boundary configurations are available. After establishing the dynamic version of the model we simulate with it to find the typical equilibrium states for a set of increasingly complex boundaries. Among others they yield almost isotropic non-trivial limit shapes even though the microscopic model is highly asymmetric.

Keywords

Cite

@article{arxiv.1807.07567,
  title  = {The bounded 15-vertex model},
  author = {Kari Eloranta},
  journal= {arXiv preprint arXiv:1807.07567},
  year   = {2018}
}
R2 v1 2026-06-23T03:07:49.869Z