30 citations · 214 across the 12 of their papers we have counts for
8 papers · 1 filter
Critical polynomials in the nonplanar and continuum percolation models
Wenhui Xu, Junfeng Wang, Hao Hu +1
Exact or precise thresholds have been intensively studied since the introduction of the percolation model. Recently the critical polynomial was introduced for plan…
Critical exponents and universal excess cluster number of percolation in four and five dimensions
Zhongjin Zhang, Pengcheng Hou, Sheng Fang +2
We study critical bond percolation on periodic four-dimensional (4D) and five-dimensional (5D) hypercubes by Monte Carlo simulations. By classifying the occupied bonds into branche…
Geometric properties of the Fortuin-Kasteleyn representation of the Ising model
Pengcheng Hou, Sheng Fang, Junfeng Wang +2
We present a Monte Carlo study of the Fortuin-Kasteleyn (FK) clusters of the Ising model on the square (2D) and simple-cubic (3D) lattices. The wrapping probability, a dimensionles…
Irreversible Markov chain Monte Carlo algorithm for self-avoiding walk
Hao Hu, Xiaosong Chen, Youjin Deng
We formulate an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk (SAW), which violates the detailed balance condition and satisfies the balance condition.…
Universal Critical Wrapping Probabilities in the Canonical Ensemble
Hao Hu, Youjin Deng
Universal dimensionless quantities, such as Binder ratios and wrapping probabilities, play an important role in the study of critical phenomena. We study the finite-size scaling be…
Short-range correlations in percolation at criticality
Hao Hu, Henk W. J. Blöte, Robert M. Ziff +1
We derive the critical nearest-neighbor connectivity as , , and for bond percolation on the square,…
Percolation in the canonical ensemble
Hao Hu, Henk W. J. Blöte, Youjin Deng
We study the bond percolation problem under the constraint that the total number of occupied bonds is fixed, so that the canonical ensemble applies. We show via an analytical appro…
Berezinskii-Kosterlitz-Thouless-like percolation transitions in the two-dimensional XY model
Hao Hu, Youjin Deng, Henk W. J. Blöte
We study a percolation problem on a substrate formed by two-dimensional XY spin configurations, using Monte Carlo methods. For a given spin configuration we construct percolation c…