4 papers
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 …
Two-dimensional percolation with algebraically decaying interactions II: Critical exponents in the long-range regime
Ziyu Liu, Tianning Xiao, Zhijie Fan +1
We present a comprehensive Monte Carlo study of two-dimensional bond percolation with algebraically decaying connection probabilities , establishing the univ…
On Sak's criterion for statistical models with long-range interaction
Tianning Xiao, Ziyu Liu, Zhijie Fan +1
Determining the threshold value that separates the short-range (SR) and long-range (LR) universality classes in phase transitions remains a controversial issue. While Sak's c…
Two-dimensional percolation model with long-range interaction
Ziyu Liu, Tianning Xiao, Zhijie Fan +1
We perform large-scale simulations of the two-dimensional long-range bond percolation model with algebraically decaying percolation probabilities , using both conve…