28 citations · 127 across the 14 of their papers we have counts for
7 papers · 1 filter
Long-range self-avoiding walk in one dimension: a Monte Carlo study
Jiang Zhou, Ziyu Liu, Pengcheng Hou +2
We study the one-dimensional long-range self-avoiding walk in the grand-canonical ensemble where the statistical weight of a jump of length decays algebraically as …
Fractals of Simple Random Walks in Two Dimensions: A Monte Carlo Study
Jiang Zhou, Ziru Deng, Pengcheng Hou
We present a Monte Carlo study of the fractal geometry of clusters formed by discrete-time simple random walks (sRW) of steps on a periodic square lattice. We ver…
Monte Carlo study of duality and the Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional -state clock model in flow representations
Hao Chen, Pengcheng Hou, Sheng Fang +1
The two-dimensional -state clock model for undergoes two Berezinskii-Kosterlitz-Thouless (BKT) phase transitions as temperature decreases. Here we report an extensive…
Percolation of the two-dimensional XY model in the flow representation
Bao-Zong Wang, Pengcheng Hou, Chun-Jiong Huang +1
We simulate the two-dimensional XY model in the flow representation by a worm-type algorithm, up to linear system size , and study the geometric properties of the flow conf…
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…
Critical percolation clusters in seven dimensions and on a complete graph
Wei Huang, Pengcheng Hou, Junfeng Wang +2
We study critical bond percolation on a seven-dimensional (7D) hypercubic lattice with periodic boundary conditions and on the complete graph (CG) of finite volume . We numerica…