2 citations · 4 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Interplay of the complete-graph and Gaussian fixed-point asymptotics in finite-size scaling of percolation above the upper critical dimension
Mingzhong Lu, Sheng Fang, Zongzheng Zhou +1
Percolation has two mean-field theories, the Gaussian fixed point (GFP) and the Landau mean-field theory or the complete graph (CG) asymptotics. By large-scale Monte Carlo simulati…