7 papers
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…
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…
Spatial Optical Simulator for Classical Statistical Models
Song-Tao Yu, Ming-Gen He, Sheng Fang +2
Optical simulators for the Ising model have demonstrated great promise for solving challenging problems in physics and beyond. Here, we develop a spatial optical simulator for a va…
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…
Universal Scaling of Gap Dynamics in Percolation
Sheng Fang, Qing Lin, Jun Meng +4
Percolation is a cornerstone concept in physics, providing crucial insights into critical phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal t…