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Internet Electronic Journal of Molecular Design - IEJMD, ISSN 1538-6414, CODEN IEJMAT
ABSTRACT - Internet Electron. J. Mol. Des. November 2002, Volume 1, Number 11, 583-592

An Application of the Multicanonical Monte Carlo Method to the Bulk Water System
Chizuru Muguruma, Yuko Okamoto, and Masuhiro Mikami
Internet Electron. J. Mol. Des. 2002, 1, 583-592

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Abstract:
Powerful Monte Carlo algorithm may solve the multiple-minima problem for the bulk water system. The multicanonical algorithm is based on a non-Boltzman weight factor and produces flat probability distribution of potential energy artificially. The method allows the system to rove through the complex potential energy surface without getting trapped in a local minimum state, and has been proven to be efficient for studying first-order phase transitions of complex systems such as spin glasses and proteins. One of the features of the method is that the expectation values of thermodynamic properties can be calculated as a function of temperature by applying the histogram-reweighting techniques to the results of one long production run. In the present study, we determined the multicanonical weight factor that can produce flat probability distribution of potential energy corresponding to the temperature range from 170 to 630 K. From the peak of the heat capacity, we found a phase transition at 190 K. The lower energy structures and oxygen-oxygen radial distribution functions imply that the structure at lower temperatures is irregular. However, the average number of hydrogen bonds per water molecule is nearly equal to four at low temperatures, which suggests the formation of amorphous ice. We conclude that the phase transition we found in the present study is the one between liquid water and amorphous ice. In order to study first-order phase transition between water and crystalline ice with the multicanonical algorithm, we have to obtain more precise multicanonical weight factor in the low energy region.

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