ac Hopping Conductivity of a One-Dimensional Bond-Percolation Model

1980 ◽  
Vol 45 (10) ◽  
pp. 847-850 ◽  
Author(s):  
T. Odagaki ◽  
M. Lax
Keyword(s):  
Percolation Model ◽  
Bond Percolation ◽  
One Dimensional ◽  
Hopping Conductivity

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

scholarly journals Theory of One-Dimensional Hopping Conductivity

1994 ◽  
Vol 115 ◽  
pp. 303-315 ◽  
Author(s):  
Takuma Ishikawa ◽  
Tadao Ishii
Keyword(s):  
One Dimensional ◽  
Hopping Conductivity

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 Einstein Relation for Random Walk in a One-Dimensional Percolation Model

2019 ◽  
Vol 176 (4) ◽  
pp. 737-772
Author(s):  
Nina Gantert ◽  
Matthias Meiners ◽  
Sebastian Müller
Keyword(s):  
Random Walk ◽  
Percolation Model ◽  
Einstein Relation ◽  
One Dimensional

Critical behavior of percolation and Markov fields on branching planes

1993 ◽  
Vol 30 (3) ◽  
pp. 538-547 ◽  
Author(s):  
C. Chris Wu
Keyword(s):  
Continuous Function ◽  
Critical Behavior ◽  
Mean Field ◽  
Percolation Model ◽  
Homogeneous Tree ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Percolation Probability ◽  
Triangle Condition ◽  
Markov Fields

For an independent percolation model on, whereis a homogeneous tree andis a one-dimensional lattice, it is shown, by verifying that the triangle condition is satisfied, that the percolation probabilityθ(p) is a continuous function ofpat the critical pointpc, and the critical exponents,γ,δ, and Δ exist and take their mean-field values. Some analogous results for Markov fields onare also obtained.

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