The bounded version of the eight-vertex model of Statistical Mechanics is investigated. We study square, diamond and general ΓΏnite domains on the square lattice and give exact characterizations to legal boundary conditions and number of ΓΏll-ins. The sets of legal conΓΏgurations with a given boundary
Eight-vertex model of the quasicrystal
β Scribed by V.E. Korepin
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 134 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
The partition function of the zero-field ``Eight-Vertex'' model on a square M by N lattice is calculated exactly in the limit of M, N large. This model includes the dimer, ice and zerofield Ising, F and KDP models as special cases. In general the free energy has a branch point singularity at a phase
A generalized version of the Villain model is defined which contains the eight-vertex model as a special case. A renormalization pattern is formulated in terms of this Villain model by which critical line(s) in the eight-vertex model are connected with the Gaussian fixed line. Gaussian equivalents a