Percolation in a simple cubic lattice with distortion
arXiv:2207.12079 · doi:10.1103/PhysRevE.106.034109
Abstract
Site percolation in a distorted simple cubic lattice is characterized numerically employing the Newman-Ziff algorithm. Distortion is administered in the lattice by systematically and randomly dislocating its sites from their regular positions. The amount of distortion is tunable by a parameter called the distortion parameter. In this model, two occupied neighboring sites are considered connected only if the distance between them is less than a predefined value called the connection threshold. It is observed that the percolation threshold always increases with distortion if the connection threshold is equal to or greater than the lattice constant of the regular lattice. On the other hand, if the connection threshold is less than the lattice constant, the percolation threshold first decreases, then increases steadily as distortion is increased. It is shown that the variation of the percolation threshold can be well explained by the change in the fraction of occupied bonds with distortion. The values of the relevant critical exponents of the transition strongly indicate that percolation in regular and distorted simple cubic lattices belong to the same universality class. It is also demonstrated that this model is intrinsically distinct from the site-bond percolation model.
arXiv comment11 pages, 8 figures
References in corpus (24)
- Clique percolation in random networks
- A fast Monte Carlo algorithm for site or bond percolation
- Efficient Monte Carlo algorithm and high-precision results for percolation
- Recent advances in percolation theory and its applications
- Precise determination of the bond percolation thresholds and finite-size scaling corrections for the s.c., f.c.c., and b.c.c. lattices
- Directed percolation criticality in turbulent liquid crystals
- Exact exponents for the spin quantum Hall transition
- Bond and Site Percolation in Three Dimensions
- Simultaneous analysis of three-dimensional percolation models
- Five loop renormalization of theory with applications to the Lee-Yang edge singularity and percolation theory
- Self-stabilised fractality of sea-coasts through damped erosion
- An investigation of site-bond percolation on many lattices
- Site percolation on square and simple cubic lattices with extended neighborhoods and their continuum limit
- Percolation description of the global topography of Earth and Moon
- Critical and Topological Properties of Cluster Boundaries in the Ising Model
- 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
- New universality class in percolation on multifractal scale-free planar stochastic lattice
- Percolation in a distorted square lattice
- Percolation model with an additional source of disorder
- Bond percolation between separated points on a square lattice
- Breaking universality in random sequential adsorption on a square lattice with long-range correlated defects
- Alternative criterion for two-dimensional wrapping percolation
- Universality class of the percolation in two-dimensional lattices with distortion
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- Site and bond percolation in linearly distorted triangular and square lattices
- Extended-range percolation in five dimensions