Universality class of the percolation in two-dimensional lattices with distortion
arXiv:1903.11790 · doi:10.1016/j.physa.2019.121139
Abstract
Mitra et al. [Phys. Rev. E 99 (2019) 012117] proposed a new percolation model that includes distortion in the square lattice and concluded that it may belong to the same universality class as the ordinary percolation. But the conclusion is questionable since their results of critical exponents are not consistent. In this paper, we reexamined the new model with high precision in the square, triangular, and honeycomb lattices by using the Newman-Ziff algorithm. Through the finite-size scaling, we obtained the percolation threshold of the infinite-size lattice and critical exponents ( and ). Our results of the critical exponents are the same as those of the classical percolation within error bars, and the percolation in distorted lattices is confirmed to belong to the universality class of the classical percolation in two dimensions.
arXiv comment6 pages, 4 figures
References in corpus (15)
- Resilience of the Internet to random breakdowns
- Epidemics and percolation in small-world networks
- A fast Monte Carlo algorithm for site or bond percolation
- Efficient Monte Carlo algorithm and high-precision results for percolation
- Bond and Site Percolation in Three Dimensions
- How to make a fragile network robust and vice versa
- Convergence of threshold estimates for two-dimensional percolation
- Percolation on two- and three-dimensional lattices
- Determination of the bond percolation threshold for the Kagome lattice
- Simple cubic random-site percolation thresholds for neighborhoods containing fourth-nearest neighbors
- Critical and Topological Properties of Cluster Boundaries in the Ising Model
- Phase transition in the majority-vote model on the Archimedean lattices
- Newman-Ziff algorithm for the bootstrap percolation: application to the Archimedean lattices
- Percolation in a distorted square lattice
- Percolation model with an additional source of disorder