Applications of Transform Methods
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In this chapter we describe how a number of models, mathematically equivalent to the Ising model, can be derived by transformation methods and, in particular, by the decoration transformation. Accurate results will be derived for cooperative phenomena, for example transitions on critical curves and the associated exponents, ferrimagnetic first-order transitions in the H ≠ 0 region and water-like behaviour (when d > 1)which have until now been treated by approximation methods. New phenomena, such as lower critical points and critical double-points, will also arise.
KeywordsPartition Function Ising Model Triangular Lattice Critical Curve Honeycomb Lattice
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