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Invaded cluster algorithm for a tricritical point in a diluted Potts model

Ivan Balog·Katarina Uzelac
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Abstract

The invaded cluster approach is extended to 2D Potts model with annealed vacancies by using the random-cluster representation. Geometrical arguments are used to propose the algorithm which converges to the tricritical point in the two-dimensional parameter space spanned by temperature and the chemical potential of vacancies. The tricritical point is identified as a simultaneous onset of the percolation of a Fortuin-Kasteleyn cluster and of a percolation of "geometrical disorder cluster". The location of the tricritical point and the concentration of vacancies for q = 1, 2, 3 are found to be in good agreement with the best known results. Scaling properties of the percolating scaling cluster and related critical exponents are also presented.

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Ivan Balog, Katarina Uzelac. 2007-06-13. Invaded cluster algorithm for a tricritical point in a diluted Potts model. https://doi.org/10.1103/physreve.76.011103

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