A two-dimensional bonded lattice model for water

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Abstract
A lattice fluid model on a two-dimensional quadratic lattice is observed in which molecules are capable of preferential bonding between second neighbours. A Hamiltonian is introduced which has interactions which differentiate between parallel and antiparallel spins and parallel and orthogonal spins. A number of interesting special cases are considered including a four-state dilute Potts model and a five-state Potts model. The phase transitions are investigated using Landau symmetry theory. The fluid transition is studied using a mean-field approximation. Within the limitations of this method the system is predicted to have water-like properties.

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