Abstract
The methods presented in the first two articles of this series are simplified and generalized by growing stationary stochastic crystals from a given Ansatz layer. On the disorder trajectory the free energy, correlation functions, and multicritical points are calculated explicitly for a large class of models with competing interactions, including the staggered eight-vertex model, the general sixteen-vertex model, theq-state Potts model on a triangular lattice, a generalZ(q) model, and restricted spin glass models in two dimensions.
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Ruján, P. Order and disorder lines in systems with competing interactions. III. Exact results from stochastic crystal growth. J Stat Phys 34, 615–646 (1984). https://doi.org/10.1007/BF01018562
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DOI: https://doi.org/10.1007/BF01018562