Percolation on Isotropically Directed Lattice
arXiv:1808.06644 · doi:10.1103/PhysRevE.98.062116
Abstract
We investigate percolation on a randomly directed lattice, an intermediate between standard percolation and directed percolation, focusing on the isotropic case in which bonds on opposite directions occur with the same probability. We derive exact results for the percolation threshold on planar lattices, and present a conjecture for the value the percolation-threshold for in any lattice. We also identify presumably universal critical exponents, including a fractal dimension, associated with the strongly-connected components both for planar and cubic lattices. These critical exponents are different from those associated either with standard percolation or with directed percolation.
arXiv comment10 pages, 11 figures
References in corpus (15)
- Control Principles of Complex Networks
- Precise determination of the bond percolation thresholds and finite-size scaling corrections for the s.c., f.c.c., and b.c.c. lattices
- Giant strongly connected component of directed networks
- Second look at the spread of epidemics on networks
- Percolation in Directed Scale-Free Networks
- Scaling corrections: site-percolation and Ising model in three dimensions
- Bond and Site Percolation in Three Dimensions
- Generalized percolation in random directed networks
- Influence of Reciprocal links in Social Networks
- Interfaces and the edge percolation map of random directed networks
- Short-range correlations in percolation at criticality
- Crossover from Isotropic to Directed Percolation
- Random Resistor-Diode Networks and the Crossover from Isotropic to Directed Percolation
- Analysing and controlling the tax evasion dynamics via majority-vote model
- Nonlinear random resistor diode networks and fractal dimensions of directed percolation clusters
Cited by in corpus (9)
- On the stability of traffic breakup patterns in urban networks
- From one-way streets to percolation on random mixed graphs
- Parallel Strong Connectivity Based on Faster Reachability
- Cracking urban mobility
- Percolation in Networks of Liquid Diodes
- Solving a directed percolation inverse problem
- Janus Percolation in Anisotropic Limited-Degree Networks
- Bipartitioning of directed and mixed random graphs
- Nonreciprocal random networks and their percolation properties