Thermodynamics of two lattice ice models in three dimensions

TL;DR

This paper investigates the thermodynamic properties of two three-dimensional lattice ice models that obey ice rules, revealing no disorder-order phase transition despite their similarities to Potts models.

Contribution

It introduces two new lattice ice models in three dimensions and analyzes their thermodynamics, showing the absence of phase transitions.

Findings

No disorder-order phase transition observed

Residual entropy of ice I calculated via simulations

Models obey ice rules at all temperatures

Abstract

In a recent paper we introduced two Potts-like models in three dimensions, which share the following properties: (A) One of the ice rules is always fulfilled (in particular also at infinite temperature). (B) Both ice rules hold for groundstate configurations. This allowed for an efficient calculation of the residual entropy of ice I (ordinary ice) by means of multicanonical simulations. Here we present the thermodynamics of these models. Despite their similarities with Potts models, no sign of a disorder-order phase transition is found.