Bulletin of the Chemical Society of Japan
Online ISSN : 1348-0634
Print ISSN : 0009-2673
ISSN-L : 0009-2673
The Random Graph Model of Hydrogen Bond Network
Masaki Sasai
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1993 Volume 66 Issue 11 Pages 3362-3371


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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© 1993 The Chemical Society of Japan
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