Journal article
Surface magnetisation of the 3-state Potts model with free and fixed boundaries on the square lattice
IG Enting, J DeGier (ed.), O Warnaar (ed.)
INTERNATIONAL WORKSHOP ON STATISTICAL MECHANICS AND COMBINATORICS: COUNTING COMPLEXITY | IOP PUBLISHING LTD | Published : 2006
Abstract
The finite lattice method is used to derive low-temperature series expansions for surface magnetisations for the 3-state Potts model on the square lattice, for both fixed and free boundary conditions. Combinatorial weights required for surface corrections to the free energy have been generalised to include cases with explicit surface interactions. Analysis of series for the surface correction to the bulk magnetisation is consistent with the generic scaling prediction, assuming a slow convergence comparable to that found in analysis of Potts model series for bulk properties. For free boundaries, analysis of the ordering of the surface layer confirms the specific Potts model result derived fro..
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Funding Acknowledgements
It is a particular pleasure to revisit the beginning of our collaboration at an event marking the 60th birthday of Tony Guttmann and to gratefully acknowledge a quarter of a century of fruitful collaboration. The Centre of Excellence for Mathematics and Statistics of Complex Systems (MASCOS) is funded by the Australian Research Council. The authors fellowship at MASCOS is supported in part by CSIRO through a sponsorship agreement.