Abstract
Abstract A new lattice model of liquid water is developed. The hydrogen bond network is represented by the Ising variables with the method similar to the one used in combinatorial problems in random graph. Thermodynamic properties of the model are studies with the mean-field approximation. Phase diagram, density maximum, and anomalies of supercooled water are discussed. Dynamical properties are also investigated by using the coupled-map-dynamics method. Energy fluctuation is shown to have 1/f like long time correlation. The network structural rearrangement takes place collectively in localized regions.
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