Correlated Site-Bond Percolation Model: Application to Catalytic Deactivation and Desorption from Porous Solids

Langmuir ◽  
1995 ◽  
Vol 11 (4) ◽  
pp. 1178-1183 ◽  
Author(s):  
A. M. Vidales ◽  
R. J. Faccio ◽  
G. Zgrablich
Keyword(s):  
Percolation Model ◽  
Porous Solids ◽  
Bond Percolation ◽  
Model Application ◽  
Catalytic Deactivation

scholarly journals Phase transitions in a two-component site-bond percolation model

2000 ◽  
Vol 62 (13) ◽  
pp. 8719-8724 ◽  
Author(s):  
H. M. Harreis ◽  
W. Bauer
Keyword(s):  
Phase Transitions ◽  
Percolation Model ◽  
Bond Percolation ◽  
Two Component

Critical Probabilities of 1-Independent Percolation Models

2012 ◽  
Vol 21 (1-2) ◽  
pp. 11-22 ◽  
Author(s):  
PAUL BALISTER ◽  
BÉLA BOLLOBÁS
Keyword(s):  
Infinite Graph ◽  
Percolation Model ◽  
Bond Percolation ◽  
Locally Finite

Given a locally finite connected infinite graphG, let the interval [pmin(G),pmax(G)] be the smallest interval such that ifp>pmax(G), then every 1-independent bond percolation model onGwith bond probabilityppercolates, and forp<pmin(G) none does. We determine this interval for trees in terms of the branching number of the tree. We also give some general bounds for other graphsG, in particular for lattices.

scholarly journals Self-organized critical dynamics of a directed bond percolation model

1998 ◽  
Vol 243 (1-2) ◽  
pp. 20-24
Author(s):  
Subhankar Ray ◽  
Tapati Dutta ◽  
Jaya Shamanna
Keyword(s):  
Percolation Model ◽  
Bond Percolation ◽  
Critical Dynamics ◽  
Self Organized

scholarly journals Double site-bond percolation model for biomaterial implants

2011 ◽  
Vol 106 (3) ◽  
pp. 635-644 ◽  
Author(s):  
H. Mely ◽  
J.-F. Mathiot
Keyword(s):  
Percolation Model ◽  
Bond Percolation

scholarly journals Percolation on anisotropic media, the Bethe lattice revisited. Application to fracture networks

1997 ◽  
Vol 4 (1) ◽  
pp. 11-18 ◽  
Author(s):  
M. Canals ◽  
M. Ayt Ougoudal
Keyword(s):  
Good Accuracy ◽  
Linear Equations ◽  
Bethe Lattice ◽  
Anisotropic Media ◽  
Percolation Model ◽  
Bond Percolation ◽  
Fracture Networks ◽  
Dead End ◽  
Percolation Thresholds ◽  
Non Linear Equations

Abstract. A bond-percolation model based on the Bethe Lattice is presented. This model handles anisotropic and multiscale situations where, typically, the bond probability is non unique and depends on the sites it connects. The model is governed by a set of non-linear equations which are solved numerically. As a result, the structure of the network is obtained: strengths of the backbone, dead-end roads and finite clusters. Percolation thresholds and cluster sizes are also obtained. Application to fissured media is presented and random simulations of 3D distributions of fractures show the good accuracy of the model.

INVASION PERCOLATION IN THE PRESENCE OF NANOPORES

2008 ◽  
Vol 19 (10) ◽  
pp. 1515-1528
Author(s):  
FATEMEH EBRAHIMI
Keyword(s):  
Capillary Number ◽  
Critical Value ◽  
Percolation Model ◽  
Immiscible Displacement ◽  
Bond Percolation ◽  
Invasion Percolation ◽  
Nanoporous Media ◽  
Size Restriction ◽  
Mass Uptake ◽  
Accessible Porosity

Site invasion percolation (IP) processes are combined with bond percolation model, to study the effects of size restriction on low capillary number immiscible displacement in heterogeneous nanoporous media. Both cases of compressible (NTIP) and incompressible defender fluid (TIP) are considered. It is found that in site IP the value of mass uptake increases with the size of invader particles, if the latter is not greater than a critical value. This occurs when the accessible porosity of the medium decreases as the size of fluid particles increases. We also investigate the effect of nanopore's concentration on the mass and the anisotropy of sample spanning cluster as well as the critical exponent of trap numbers.

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