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- W2731174920 abstract "The free energies of six-vertex models on a general domain D with various boundary conditions are investigated with the use of the n-equivalence relation, which help classify the thermodynamic limit properties. It is derived that the free energy of the six-vertex model on the rectangle is unique in the limit (height,width)→(∞,∞). It is derived that the free energies of the model on the domain D are classified through the densities of left∕down arrows on the boundary. Specifically, the free energy is identical to that obtained by Lieb [Phys. Rev. Lett. 18, 1046 (1967); 19, 108 (1967); Phys. Rev. 162, 162 (1967)] and Sutherland [Phys. Rev. Lett 19, 103 (1967)] with the cyclic boundary condition when the densities are both equal to 12. This fact explains several results already obtained through the transfer matrix calculation. The relation to the domino tiling (or dimer, or matching) problems is also noted." @default.
- W2731174920 created "2017-07-14" @default.
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- W2731174920 date "2007-03-07" @default.
- W2731174920 modified "2023-09-26" @default.
- W2731174920 title "The free energies of six-vertex models and the n-equivalence relation." @default.
- W2731174920 hasPublicationYear "2007" @default.
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