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摘要
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.
- 出版日期2010
