Invaded cluster algorithm for a tricritical point in a diluted Potts model
摘要
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.
关键词
引用
@article{arxiv.cond-mat/0703759,
title = {Invaded cluster algorithm for a tricritical point in a diluted Potts model},
author = {Ivan Balog and Katarina Uzelac},
journal= {arXiv preprint arXiv:cond-mat/0703759},
year = {2011}
}
备注
8 pages, 5 figures