Abstract
The possible orderings in a dilute antiferromagnetic q=3 Potts model on a triangular lattice are studied by applying to a hierarchical lattice an approximate renormalisation group scheme which incorporates and preserves all the symmetries of the Potts model. This scheme indicates that states with partial order, in which only a subset of the symmetries are broken, can exist in systems with these symmetries. They do not, however, occur in the model with nearest-neighbour pair interactions only. In this model the authors find solely the antiferromagnetically ordered states which occur for bond probabilities in excess of p1, which is greater than pc, the critical probability for bond percolation.
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