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The ice and Potts models in statistical mechanics

Kelland, Stewart Beaton

Description

This thesis deals with two two-dimensional lattice models in statistical mechanics. The first of these is the zero-field 20-vertex model on a triangular lattice. This model is the analogue to the ice-type, zero-field six-vertex model on a square lattice. We solve this problem exactly for a restricted set of vertex weights. The other model is the q-component Potts model on a square lattice. This model is equivalent to a staggered ice-type model on a square lattice. Using a variational...[Show more]

CollectionsOpen Access Theses
Date published: 1976
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/136799

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