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Author

Tianning Xiao

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Preprint Aug 2026

Two-dimensional percolation with algebraically decaying interactions II: Critical exponents in the long-range regime

We present a comprehensive Monte Carlo study of two-dimensional bond percolation with algebraically decaying connection probabilities $p(r)\propto 1/r^{2+\sigma}$, establishing the universality diagram in the long-range (LR) regime for $\sigma\le2$. Using the event-based ensemble method, we simulate systems with linear...

Zi-Yu Liu, Tian-Ning Xiao, Zhi-Jie Fan et al. · 2 citations

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