Revisiting waterlike network-forming lattice models

Abstract

In a previous paper [J. Chem. Phys. 129, 024506 (2008)] we studied a 3 dimensional lattice model of a network-forming fluid, recently proposed in order to investigate water anomalies. Our semi-analytical calculation, based on a cluster-variation technique, turned out to reproduce almost quantitatively several Monte Carlo results and allowed us to clarify the structure of the phase diagram, including different kinds of orientationally ordered phases. Here, we extend the calculation to different parameter values and to other similar models, known in the literature. We observe that analogous ordered phases occur in all these models. Moreover, we show that certain "waterlike" thermodynamic anomalies, claimed by previous studies, are indeed artifacts of a homogeneity assumption made in the analytical treatment. We argue that such a difficulty is common to a whole class of lattice models for water, and suggest a possible way to overcome the problem.

13 pages, 12 figures

References in corpus (5)

• Cluster-variation approximation for a network-forming lattice-fluid model
• Two-dimensional lattice-fluid model with water-like anomalies
• Diffusion Anomaly in a three dimensional lattice gas
• Numerical calculation of the combinatorial entropy of partially ordered ice
• Zero temperature solutions of the Edwards-Anderson model in random Husimi Lattices

Cited by in corpus (5)

• Solution of an associating lattice gas model with density anomaly on a Husimi lattice
• Hierarchical Lattice Models of Hydrogen Bond Networks in Water
• Towards a mesoscopic model of water-like fluids with hydrodynamic interactions
• A discrete model of water with two distinct glassy phases
• Phase diagram and critical properties of a two-dimensional associating lattice gas