Aspects of the percolation process for hydrogen-bond networks in water

  • Geiger A
  • Stillinger F
  • Rahman A
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Abstract

Sets of configurations selected from three molecular dynamics simulations for liquid water have been analyzed for the distribution of hydrogen-bond clusters. Two simulations correspond to water at 1 g cm--3, while the third corresponds to highly compressed water at 1.346 g cm--3. An energy criterion was adopted for existence of a hydrogen-bond between two molecules. As the cutoff value for bonding increases (becomes more permissive), a bond percolation threshold is encountered at which initially disconnected clusters suddenly produce a large space-filling random network. At least for the model studied, any chemically reasonable definition of ''hydrogen-bond'' leads to this globally connected structure though a few disconnected fragments inhabit its interior. Although some polygonal closures can exist, the critical percolation threshold is apparently well predicted by Flory's theory of the gel point for dendritic polymerization.

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Authors

  • A. Geiger

  • F. H. Stillinger

  • A. Rahman

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