Lattice models of hydrogen-bonded solvents. II |
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Authors: | D. B. Abraham O. J. Heilmann |
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Affiliation: | (1) Chemistry Laboratory III, H.C. Orsted Institute, Copenhagen, Denmark;(2) Present address: Department of Theoretical Chemistry, Oxford, UK |
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Abstract: | We consider a lattice model of a binary mixture in which each molecule of one component can form zero, one, or two bonds to molecules of the same species on neighboring vertices of the square lattice. We allow the energy of molecules with two bonds to depend on the valence angle, thus generalizing the first paper in this series. If straight polymeric configurations are favored over all others, then a phase transition occurs for low enough temperature. On the other hand, if bent configurations are favored, there is no phase transition. Analogous results are obtained for the hexagonal lattice, where we distinguish energetically betweencis andtrans isomerism of four bonded molecules.Supported by the Danish Science Foundation under grant 511-3635. |
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Keywords: | Polymer hydrogen bond phase transition liquid crystals zeros of partition function lattice model ferroelectric model 16-vertex problem |
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