Simple water-like lattice models in one dimension

TL;DR

This paper reviews simple one-dimensional lattice models that replicate key anomalous behaviors of water-like systems, including density maxima and unusual phase coexistence, using minimal parameters.

Contribution

It introduces a two-parameter lattice model capable of reproducing complex water-like anomalies and phase behaviors in a simplified one-dimensional framework.

Findings

Models exhibit p-T coexistence lines with negative slope

Solid phases can be less dense than liquids

Temperatures of maximum density are reproduced

Abstract

In this contribution we review a series of simple one dimensional lattice models that with an appropriate choice of parameters can account for various anomalous features of the behaviour of complex systems such as water. In particular, we will focus on the presence of $p-T$ fluid-solid coexistence lines with negative slope (i.e. solids that melt upon compression), solid phases less dense than the liquid phase, and the existence of temperatures of maximum density. We will see how a simple two-parameter model can reproduce the phase behaviour of a range of systems well known for their anomalous behaviour regarding the temperature and pressure dependence of properties such as density, diffusivity or viscosity.