A simple one-dimensional lattice model with water-like phase behaviour

Enrique Lomba (1) , Johan Skule Høye (2)

1 IQFR-CSIC
2 Institutt for Fysikk [Trondheim]

We analyse the phase behaviour of a simple one-dimensional lattice model with two repulsive ranges (a hard core repulsion that covers two sites and a next-to-nearest neighbour repulsive interaction), a long-ranged staggered mean field, and an additional mean field attraction. The model is investigated in terms of its analytic solution. By a suitable choice of the next-to-nearest neighbour repulsive interaction and the mean field attraction, the model displays a phase behaviour closely connected with that of water: a solid phase less dense than its fluid counterpart, a solid that melts upon isothermal compression, and no stable liquid-liquid equilibrium.

Mots clés: Physical Sciences

Enrique Lomba, Johan Skule Høye. A simple one-dimensional lattice model with water-like phase behaviour. Molecular Physics, 2010, 108 (01), pp.51-55. ⟨10.1080/00268970903496652⟩. ⟨hal-00565911⟩