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

Phase transitions and shapes of two component membranes and vesicles II : weak segregation limit

1994 ◽  
Vol 4 (8) ◽  
pp. 1333-1362 ◽  
Author(s):  
Takashi Taniguchi ◽  
Kyozi Kawasaki ◽  
David Andelman ◽  
Toshihiro Kawakatsu
Keyword(s):  
Phase Transitions ◽  
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 Surface phase transitions in two-component systems

1996 ◽  
Vol 352-354 ◽  
pp. 960-963 ◽  
Author(s):  
Giorgio Mazzeo ◽  
Enrico Carlon ◽  
Henk van Beijeren
Keyword(s):  
Phase Transitions ◽  
Surface Phase ◽  
Surface Phase Transitions ◽  
Component Systems ◽  
Two Component ◽  
Two Component Systems

AB percolation on bond-decorated graphs

1993 ◽  
Vol 30 (1) ◽  
pp. 153-166 ◽  
Author(s):  
Martin J. B. Appel ◽  
John C. Wierman
Keyword(s):  
Phase Transitions ◽  
Critical Exponents ◽  
Sufficient Conditions ◽  
Percolation Model ◽  
Site Model ◽  
Two Parameter

It is known [8] that a certain class of bond-decorated graphs exhibits multiple AB percolation phase transitions. Sufficient conditions are given under which the corresponding AB percolation critical probabilities may be identified as points of intersection of the graph of a certain polynomial with the boundary of the percolative region of an associated two-parameter bond-site percolation model on the underlying undecorated graph. The main result of the article is used to prove that the graphs in [8] exhibit multiple AB percolation critical probabilities. The possibility of identifying AB percolation critical exponents with corresponding limits for the bond-site model is discussed.

Sign in / Sign up

Export Citation Format

Share Document