We consider a regular assembly of singly occupied cells with two accessible volumes. Coupled to cell volumes are interaction energies between nearest neighbors that lead to a phase transition with a critical point. We find that these compressible cell models can serve as Ising-like prototypes of the one-component liquid-liquid and isostructural solid-solid phase transitions that originate in the short-range features of the intermolecular potential. The mean-field solutions provide hints concerning the analytical form of the equation of state of liquid water.

中文翻译：

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具有能量-体积耦合的类似于Ising的模型

我们考虑具有两个可访问体积的单个占据的单元的规则组装。与细胞体积耦合的是最近的邻居之间的相互作用能，该相互作用能导致具有临界点的相变。我们发现，这些可压缩的细胞模型可以用作类似伊辛的原型，该原型是源自分子间电势的短程特征的单组分液-液和同构固-固相变。平均场解为液态水状态方程的解析形式提供了提示。