9 papers
Large-deviation tails of critical order-parameter distributions
Jinhong Zhu, Yihao Xu, Abbas Ali Saberi +1
Large-deviation tails of critical probability distributions provide a sensitive probe of universality beyond standard finite-size scaling. We study these tails for critical percola…
Percolation in the three-dimensional Ising model
Jinhong Zhu, Tao Chen, Zhiyi Li +2
Geometric representations provide a useful perspective on critical phenomena in the Ising model. In a recent study [Phys. Rev. E 112, 034118 (2025)], we found that the two-dimensio…
Percolation in the two-dimensional Ising model
Tao Chen, Jinhong Zhu, Wei Zhong +2
The study of the Ising model from a percolation perspective has played a significant role in the modern theory of critical phenomena. We consider the celebrated square-lattice Isin…
Correction-to-scaling exponent for percolation and the Fortuin--Kasteleyn Potts model in two dimensions
Yihao Xu, Tao Chen, Zongzheng Zhou +2
The number of clusters (per site) of size , a central quantity in percolation theory, displays at criticality an algebraic scaling behavior of the form $n_s\simeq s^{-Ï}\…
Universality of the complete-graph Potts model with
Zirui Peng, Sheng Fang, Hao Hu +1
Universality is a fundamental concept in modern physics. For the -state Potts model, the critical exponents are merely determined by the order-parameter symmetry , spatial…
Crossover Finite-Size Scaling Theory and Its Applications in Percolation
Ming Li, Sheng Fang, Jingfang Fan +1
Finite-size scaling (FSS) for a critical phase transition () states that within a window of size , the scaling behavior of any observable in a system of…