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Ferromagnetic phase transition for the spanning-forest model (q \to 0 limit of the Potts model) in three or more dimensions
Youjin Deng, Timothy M. Garoni, Alan D. Sokal
We present Monte Carlo simulations of the spanning-forest model (q \to 0 limit of the ferromagnetic Potts model) in spatial dimensions d=3,4,5. We show that, in contrast to the two…
Geometric properties of two-dimensional O(n) loop configurations
Chengxiang Ding, Xiaofeng Qian, Youjin Deng +2
We study the fractal geometry of O() loop configurations in two dimensions by means of scaling and a Monte Carlo method, and compare the results with predictions based on the Co…
Cluster simulations of loop models on two-dimensional lattices
Youjin Deng, Timothy M. Garoni, Wenan Guo +2
We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n \ge 1. We show that our algorithm has l…
Cluster Simulation of the O(N) loop model on the Honeycomb lattice
Youjin Deng, Wenan Guo, Henk W. J. Blote
We study the O(N) loop model on the Honeycomb lattice with real value by means of a cluster algorithm. The formulation of the algorithm is based on the equivalence of th…