✦ LIBER ✦

The bounded eight-vertex model

✍ Scribed by Kari Eloranta

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 205 KB
Volume: 303
Category: Article
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(02)00505-4

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✦ Synopsis

The bounded version of the eight-vertex model of Statistical Mechanics is investigated. We study square, diamond and general ÿnite domains on the square lattice and give exact characterizations to legal boundary conditions and number of ÿll-ins. The sets of legal conÿgurations with a given boundary turn out always to have the graph topology of a hypercube with a particularly simple edge action. This enables a simple probabilistic description of the conÿgurations as well as an e cient conÿguration generation using a cellular automaton. Finally, by invoking height functions we study restricted edge action which leads to ice-model as well as to lesser know vertex models, some subsets of the eight-vertex model, some not.

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