scholarly journals Phase transitions in a nonequilibrium percolation model

1997 ◽  
Vol 56 (3) ◽  
pp. 2467-2480 ◽  
Author(s):  
Siegfried Clar ◽  
Barbara Drossel ◽  
Klaus Schenk ◽  
Franz Schwabl
Keyword(s):  
Phase Transitions ◽  
Percolation Model

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

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.

scholarly journals Ising models and multiresolution quad-trees

2003 ◽  
Vol 35 (1) ◽  
pp. 96-122
Author(s):  
W. S. Kendall ◽  
R. G. Wilson
Keyword(s):  
Image Analysis ◽  
Phase Transitions ◽  
Ising Model ◽  
Ising Models ◽  
Percolation Model ◽  
Random Cluster ◽  
Coexistence Phase ◽  
Mother And Daughter ◽  
Cluster Representation ◽  
Multiresolution Image

We study percolation and Ising models defined on generalizations of quad-trees used in multiresolution image analysis. These can be viewed as trees for which each mother vertex has 2d daughter vertices, and for which daughter vertices are linked together in d-dimensional Euclidean configurations. Retention probabilities and interaction strengths differ according to whether the relevant bond is between mother and daughter or between neighbours. Bounds are established which locate phase transitions and show the existence of a coexistence phase for the percolation model. Results are extended to the corresponding Ising model using the Fortuin-Kasteleyn random-cluster representation.

AB percolation on bond-decorated graphs

1993 ◽  
Vol 30 (01) ◽  
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.

scholarly journals Ising models and multiresolution quad-trees

2003 ◽  
Vol 35 (01) ◽  
pp. 96-122
Author(s):  
W. S. Kendall ◽  
R. G. Wilson
Keyword(s):  
Image Analysis ◽  
Phase Transitions ◽  
Ising Model ◽  
Ising Models ◽  
Percolation Model ◽  
Random Cluster ◽  
Coexistence Phase ◽  
Mother And Daughter ◽  
Cluster Representation ◽  
Multiresolution Image

We study percolation and Ising models defined on generalizations of quad-trees used in multiresolution image analysis. These can be viewed as trees for which each mother vertex has 2 d daughter vertices, and for which daughter vertices are linked together in d-dimensional Euclidean configurations. Retention probabilities and interaction strengths differ according to whether the relevant bond is between mother and daughter or between neighbours. Bounds are established which locate phase transitions and show the existence of a coexistence phase for the percolation model. Results are extended to the corresponding Ising model using the Fortuin-Kasteleyn random-cluster representation.

Electron Microscopy of Graphite Intercalation Compounds

1982 ◽  
Vol 40 ◽  
pp. 544-545
Author(s):  
G. Timp ◽  
L. Salamanca-Riba ◽  
L.W. Hobbs ◽  
G. Dresselhaus ◽  
M.S. Dresselhaus
Keyword(s):  
Electron Microscopy ◽  
Phase Transitions ◽  
Domain Wall ◽  
Intercalation Compounds ◽  
Lattice Plane ◽  
Wall Model ◽  
Graphite Intercalation Compounds ◽  
Fundamental Symmetry ◽  
Graphite Intercalation

Electron microscopy can be used to study structures and phase transitions occurring in graphite intercalations compounds. The fundamental symmetry in graphite intercalation compounds is the staging periodicity whereby each intercalate layer is separated by n graphite layers, n denoting the stage index. The currently accepted model for intercalation proposed by Herold and Daumas assumes that the sample contains equal amounts of intercalant between any two graphite layers and staged regions are confined to domains. Specifically, in a stage 2 compound, the Herold-Daumas domain wall model predicts a pleated lattice plane structure.

Multiple phase transitions investigated by high-speed TEM

1990 ◽  
Vol 48 (4) ◽  
pp. 550-551
Author(s):  
Oleg Bostanjoglo ◽  
Peter Thomsen-Schmidt
Keyword(s):  
Phase Transitions ◽  
High Speed ◽  
Short Exposure ◽  
Semiconductor Film ◽  
Time Resolved ◽  
Short Exposure Time ◽  
Multiple Phase ◽  
Model Substance ◽  
History Of ◽  
Electron Image

Thin GexTe1-x (x = 0.15-0.8) were studied as a model substance of a composite semiconductor film, in addition being of interest for optical storage material. Two complementary modes of time-resolved TEM were used to trace the phase transitions, induced by an attached Q-switched (50 ns FWHM) and frequency doubled (532 nm) Nd:YAG laser. The laser radiation was focused onto the specimen within the TEM to a 20 μm spot (FWHM). Discrete intermediate states were visualized by short-exposure time doubleframe imaging /1,2/. The full history of a transformation was gained by tracking the electron image intensity with photomultiplier and storage oscilloscopes (space/time resolution 100 nm/3 ns) /3/. In order to avoid radiation damage by the probing electron beam to detector and specimen, the beam is pulsed in this continuous mode of time-resolved TEM,too.Short events ( <2 μs) are followed by illuminating with an extended single electron pulse (fig. 1c)

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