液态多晶型、有序-无序转变和反常行为：水的Bell-Lavis模型的Monte Carlo研究
Liquid polymorphism, order-disorder transitions and anomalous behavior: a Monte Carlo study of the Bell-Lavis model for water
摘要：
通过数值模拟研究了液态水的Bell-Lavis模型。三角晶格上的晶格-气体模型呈现取向状态，并且已知呈现高度键合的低密度相和松散键合的高密度相。我们表明，该模型的液-液转变是连续的，在矛盾的平均场的结果，从簇变分法的胡西米仙人掌。我们定义了一个序参量，它允许解释的债券网络的有序无序过渡的过渡。我们的结果表明，有序-无序转变是在伊辛普适类。先前提出的一个二阶跃变Escherichfest被丢弃。还对异常性质进行了详细的调查。在HDL阶段的密度最大值的线是稳定的波动，在平均场的解决方案。
英文摘要：
The Bell-Lavis model for liquid water is investigated through numerical simulations. The lattice-gas model on a triangular lattice presents orientational states and is known to present a highly bonded low density phase and a loosely bonded high density phase. We show that the model liquid-liquid transition is continuous, in contradiction with mean-field results on the Husimi cactus and from the cluster variational method. We define an order parameter which allows interpretation of the transition as an order-disorder transition of the bond-network. Our results indicate that the order-disorder transition is in the Ising universality class. Previous proposal of an Ehrenfest second order transition is discarded. A detailed investigation of anomalous properties has also been undertaken. The line of density maxima in the HDL phase is stabilized by fluctuations, absent in the mean-field solution.
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