A discrete model of water with two distinct glassy phases

Abstract

We investigate a minimal model for non-crystalline water, defined on a Husimi lattice. The peculiar random-regular nature of the lattice is meant to account for the formation of a random 4-coordinated hydrogen-bond network. The model turns out to be consistent with most thermodynamic anomalies observed in liquid and supercooled-liquid water. Furthermore, the model exhibits two glassy phases with different densities, which can coexist at a first-order transition. The onset of a complex free-energy landscape, characterized by an exponentially large number of metastable minima, is pointed out by the cavity method, at the level of 1-step replica symmetry breaking.

expanded version: 6 pages, 7 figures

References in corpus (3)

• A Lattice Model for Colloidal Gels and Glasses
• Cluster-variation approximation for a network-forming lattice-fluid model
• Revisiting waterlike network-forming lattice models

Cited by in corpus (2)

• Hierarchical Lattice Models of Hydrogen Bond Networks in Water
• Ice polyamorphism in the minimal Mercedes-Benz model of water