scholarly journals How Inhomogeneous Site Percolation Works on Bethe Lattices: Theory and Application

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Jingli Ren ◽  
Liying Zhang ◽  
Stefan Siegmund
Keyword(s):  
Site Percolation ◽  
Bethe Lattices

Site percolation : Frontier curvature of clusters

1973 ◽  
Vol 34 (5-6) ◽  
pp. 341-344 ◽  
Author(s):  
H. Ottavi ◽  
J.P. Gayda
Keyword(s):  
Site Percolation

Estimates of critical percolation probabilities for a set of two-dimensional lattices

1972 ◽  
Vol 71 (1) ◽  
pp. 97-106 ◽  
Author(s):  
D. G. Neal
Keyword(s):  
Monte Carlo ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Site Percolation

AbstractThis paper describes new detailed Monte Carlo investigations into bond and site percolation problems on the set of eleven regular and semi-regular (Archimedean) lattices in two dimensions.

ABSENCE OF PHASE TRANSITIONS ON TREE STRUCTURES

1993 ◽  
Vol 07 (29n30) ◽  
pp. 1947-1950 ◽  
Author(s):  
RAFFAELLA BURIONI ◽  
DAVIDE CASSI
Keyword(s):  
Long Range ◽  
Nearest Neighbor ◽  
Linear Chain ◽  
Mean Field ◽  
Range Order ◽  
The Other ◽  
Long Range Order ◽  
Field Phase ◽  
Tree Structures ◽  
Bethe Lattices

We rigorously prove that the correlation functions of any statistical model having a compact transitive symmetry group and nearest-neighbor interactions on any tree structure are equal to the corresponding ones on a linear chain. The exponential decay of the latter implies the absence of long-range order on any tree. On the other hand, for trees with exponential growth such as Bethe lattices, one can show the existence of a particular kind of mean field phase transition without long-range order.

Effects of ramification and connectivity degree on site percolation threshold on regular lattices and fractal networks

2019 ◽  
Vol 383 (10) ◽  
pp. 957-966 ◽  
Author(s):  
Alexander S. Balankin ◽  
M.A. Martínez-Cruz ◽  
M.D. Álvarez-Jasso ◽  
M. Patiño-Ortiz ◽  
J. Patiño-Ortiz
Keyword(s):  
Percolation Threshold ◽  
Site Percolation ◽  
Regular Lattices ◽  
Connectivity Degree
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