8 citations · 17 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Scaling of Long-Range Loop-Erased Random Walks
Tianning Xiao, Xianzhi Pan, Zhijie Fan +1
We study the scaling properties of long-range loop-erased random walks (LR-LERW), where the underlying random walker performs Lévy-flight-like jumps with a power-law step-length di…
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…
Universality Diagram of Phase Transitions in Long-range Statistical Systems
Tianning Xiao, Zhijie Fan, Youjin Deng
The percolation, Ising, and O() models constitute fundamental systems in statistical and condensed matter physics. For short-range-interacting cases, the nature of their phase t…