Simultaneous analysis of three-dimensional percolation models

Abstract

We simulate the bond and site percolation models on several three-dimensional lattices, including the diamond, body-centered cubic, and face-centered cubic lattices. As on the simple-cubic lattice [Phys. Rev. E, \textbf{87} 052107 (2013)], it is observed that in comparison with dimensionless ratios based on cluster-size distribution, certain wrapping probabilities exhibit weaker finite-size corrections and are more sensitive to the deviation from percolation threshold $p_c$, and thus provide a powerful means for determining $p_c$. We analyze the numerical data of the wrapping probabilities simultaneously such that universal parameters are shared by the aforementioned models, and thus significantly improved estimates of $p_c$ are obtained.

7 pages, 8 figures

References in corpus (1)

• Critical frontier for the Potts and percolation models on triangular-type and kagome-type lattices II: Numerical analysis

Cited by in corpus (50)

• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Percolation on complex networks: Theory and application
• Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
• Five loop renormalization of ${\varphi }^3$ theory with applications to the Lee-Yang edge singularity and percolation theory
• Percolation of disordered jammed sphere packings
• High-precision Monte Carlo study of several models in the three-dimensional U(1) universality class
• Percolation thresholds and fractal dimensions for square and cubic lattices with long-range correlated defects
• From discrete to continuous percolation in dimensions 3 to 7
• Percolation Thresholds and Fisher Exponents in Hypercubic Lattices
• Dynamical fractal and anomalous noise in a clean magnetic crystal
• Site percolation on square and simple cubic lattices with extended neighborhoods and their continuum limit
• Simple cubic random-site percolation thresholds for neighborhoods containing fourth-nearest neighbors
• Percolation of overlapping squares or cubes on a lattice
• Universal behavior of site and bond percolation thresholds on regular lattices with compact extended-range neighborhoods in 2 and 3 dimensions
• Bond percolation on simple cubic lattices with extended neighborhoods
• Critical percolation clusters in seven dimensions and on a complete graph
• Geometric properties of the Fortuin-Kasteleyn representation of the Ising model
• Precise bond percolation thresholds on several four-dimensional lattices
• Hydrogen bonding and percolation in propan-2-ol -- water liquid mixtures: X-ray diffraction experiments and computer simulations
• Conformal invariance in three dimensional percolation
• Critical exponents and universal excess cluster number of percolation in four and five dimensions
• Loss-tolerant architecture for quantum computing with quantum emitters
• $N$-cluster correlations in four- and five-dimensional percolation
• Observation of non-scalar and logarithmic correlations in 2D and 3D percolation
• Universal features of cluster numbers in percolation
• Asymptotic scaling behavior of self-avoiding walks on critical percolation clusters
• Explosive percolation in finite dimensions
• Classical-quantum correspondence of special and extraordinary-log criticality: Villain's bridge
• Magnetically ordered phase near transition to Bose-glass phase
• Percolation description of charge transport in the random barrier model applied to amorphous oxide semiconductors
• Site percolation on lattices with low average coordination numbers
• Percolation of the two-dimensional XY model in the flow representation
• Interstitialcy-based reordering kinetics of Ni${}_3$Al precipitates in irradiated Ni-based super alloys
• High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas
• Quantum critical behavior of a three-dimensional superfluid-Mott glass transition
• Percolation in a simple cubic lattice with distortion
• Entanglement dynamics in monitored Kitaev circuits: loop models, symmetry classification, and quantum Lifshitz scaling
• Bootstrap and diffusion percolation transitions in three-dimensional lattices
• Critical p=1/2 in percolation on semi-infinite strips
• Efficient percolation simulations for lossy photonic fusion networks
• History-dependent percolation in two dimensions
• Percolation thresholds on high dimensional $D_n$ and dense packing lattices
• Dynamics around the Site Percolation Threshold on High-Dimensional Hypercubic Lattices
• Leaf-excluded percolation in two and three dimensions
• On the monotonicity of the critical time in the Constrained-degree percolation model
• Exact, Average, and Broken Symmetries in a Simple Adaptive Monitored Circuit
• Percolation study for the capillary ascent of a liquid through a granular soil
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions
• Uniaxial Ordering by Self-Assembly of Isotropic Octahedral Junctions
• Bond percolation in distorted simple cubic and body-centered cubic lattices