3 citations · 10 across the 12 of their papers we have counts for
12 papers · 1 filter
Intersection Exponents of Simple Random Walks in Two and Three Dimensions
Qiyuan Shi, Runsheng Liu, Xinyi Li +2
The probability that several independent random walks avoid one another decays algebraically with the number of steps in two and three dimensions, ,…
Equivalent-neighbor -core percolation in two dimensions
Qiyuan Shi, Ming Li, Youjin Deng
We perform large-scale numerical simulations to investigate the critical behavior of -core percolation in two dimensions with an extended interaction range . By systematicall…
Percolation transition of strongly connected clusters in finite dimensions and on complete graphs
Qi Wang, Ming Li
We study the percolation of strongly connected clusters (SCCs), in which sites are mutually reachable through directed paths, in systems with randomly oriented bonds by extensive s…
Self-similar Dynamics in Percolation and Sandpile
Mingzhong Lu, Ming Li, Youjin Deng
Spatial self-similarity is a hallmark of critical phenomena. We study the dynamic process of percolation, in which bonds are incrementally added to an initially empty lattice until…
High-precision Dynamic Monte Carlo Study of Rigidity Percolation
Mingzhong Lu, Yufeng Song, Qiyuan Shi +2
Rigidity percolation provides an important basis for understanding the onset of mechanical stability in disordered materials. While most studies on the triangular lattice have focu…
Evolving fractal dimensions in iterative bicolored percolation
Shuo Wei, Haoyu Liu, Xin Sun +2
Criticality is traditionally regarded as an unstable, fine-tuned fixed point of the renormalization group. We introduce an iterative bicolored percolation process in two dimensions…
Backbone three-point correlation function in the two-dimensional Potts model
Ming Li, Youjin Deng, Jesper Lykke Jacobsen +1
We study the three-point correlation function of the backbone in the two-dimensional -state Potts model using the Fortuin--Kasteleyn (FK) representation. The backbone is defined…
Finite-size scaling of percolation on scale-free networks
Xuewei Zhao, Liwenying Yang, Dan Peng +2
Critical phenomena on scale-free networks with a degree distribution exhibit rich finite-size effects due to its structural heterogeneity. We systematically study…
Fractal depth-first search paths in statistical physics models
Qiyuan Shi, Youjin Deng, Ming Li
We study the fractal properties of depth-first search (DFS) paths in critical configurations of statistical physics models, including the two-dimensional loop model for vari…
Universality of percolation at dynamic pseudocritical point
Qiyuan Shi, Shuo Wei, Youjin Deng +1
Universality, encompassing critical exponents, scaling functions, and dimensionless quantities, is fundamental to phase transition theory. In finite systems, universal behaviors ar…
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…
Self-similar gap dynamics in percolation and rigidity percolation
Mingzhong Lu, Yu-Feng Song, Ming Li +1
Spatial self-similarity is a hallmark of critical phenomena. We investigate the dynamic process of percolation, in which bonds are incrementally inserted to an empty lattice until…