9 papers
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…
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…
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…
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…
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…