27 citations · 50 across the 12 of their papers we have counts for
12 papers
Emergent Equilibrium Structure Along a Critical Cluster Recursion
Shuo Wei, Abbas Ali Saberi, Youjin Deng
Critical universality does not determine the microscopic conditional structure of a probability measure. We study a bicolored cluster recursion constrained to remain critical at ev…
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…
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…
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^{-τ}\,…
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…
Logarithmic Finite-Size Scaling of the Four-Dimensional Ising Model
Zhiyi Li, Tianning Xiao, Zongzheng Zhou +2
Field-theoretical calculations predict that, at the upper critical dimension , the finite-size scaling (FSS) behaviors of the Ising model would be modified by multiplicative…
Finite-Size Scaling of the High-Dimensional Ising Model in the Loop Representation
Tianning Xiao, Zhiyi Li, Zongzheng Zhou +2
Besides its original spin representation, the Ising model is known to have the Fortuin-Kasteleyn (FK) bond and loop representations, of which the former was recently shown to exhib…
Lifted Worm Algorithm for the Ising Model
Eren Metin Elçi, Jens Grimm, Lijie Ding +3
We design an irreversible worm algorithm for the zero-field ferromagnetic Ising model by using the lifting technique. We study the dynamic critical behavior of an energy estimator…
Geometric explanation of anomalous finite-size scaling in high dimensions
Jens Grimm, Eren Metin Elçi, Zongzheng Zhou +2
We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Is…