scholarly journals Critical Percolation and A+B$$\rightarrow $$2A Dynamics

2020 ◽  
Vol 181 (2) ◽  
pp. 738-751
Author(s):  
Matthew Junge
Keyword(s):  
Critical 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.

scholarly journals A PERCOLATION MODEL OF DIAGENESIS

2002 ◽  
Vol 13 (03) ◽  
pp. 319-331 ◽  
Author(s):  
S. S. MANNA ◽  
T. DATTA ◽  
R. KARMAKAR ◽  
S. TARAFDAR
Keyword(s):  
Numerical Simulation ◽  
Critical Behavior ◽  
Sedimentary Rocks ◽  
Two Dimensions ◽  
Percolation Model ◽  
Type Model ◽  
Stable Configuration ◽  
Critical Percolation ◽  
Restructuring Process ◽  
Simulation Results

The restructuring process of diagenesis in the sedimentary rocks is studied using a percolation type model. The cementation and dissolution processes are modeled by the culling of occupied sites in rarefied and growth of vacant sites in dense environments. Starting from sub-critical states of ordinary percolation the system evolves under the diagenetic rules to critical percolation configurations. Our numerical simulation results in two dimensions indicate that the stable configuration has the same critical behavior as the ordinary percolation.

scholarly journals Loewner driving functions for off-critical percolation clusters

2009 ◽  
Vol 80 (5) ◽  
Author(s):  
Yoichiro Kondo ◽  
Namiko Mitarai ◽  
Hiizu Nakanishi
Keyword(s):  
Critical Percolation ◽  
Percolation Clusters

Lower bounds for the critical probability in percolation models with oriented bonds

1980 ◽  
Vol 17 (04) ◽  
pp. 979-986 ◽  
Author(s):  
Lawrence Gray ◽  
John C. Wierman ◽  
R. T. Smythe
Keyword(s):  
Lower Bounds ◽  
Oriented Percolation ◽  
Critical Probability ◽  
Critical Percolation ◽  
Simple Method

In completely or partially oriented percolation models, a conceptually simple method, using barriers to enclose all open paths from the origin, improves the best previous lower bounds for the critical percolation probabilities.

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