scholarly journals Relations between invasion percolation and critical percolation in two dimensions

2009 ◽  
Vol 37 (6) ◽  
pp. 2297-2331 ◽  
Author(s):  
Michael Damron ◽  
Artëm Sapozhnikov ◽  
Bálint Vágvölgyi
Keyword(s):  
Two Dimensions ◽  
Invasion Percolation ◽  
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.

Gravity invasion percolation in two dimensions: Experiment and simulation

1991 ◽  
Vol 67 (5) ◽  
pp. 584-587 ◽  
Author(s):  
A. Birovljev ◽  
L. Furuberg ◽  
J. Feder ◽  
T. Jssang ◽  
K. J. Mly ◽  
...  
Keyword(s):  
Two Dimensions ◽  
Invasion Percolation ◽  
Experiment And Simulation

Topological Hausdorff dimension and geodesic metric of critical percolation cluster in two dimensions

2017 ◽  
Vol 381 (33) ◽  
pp. 2665-2672 ◽  
Author(s):  
Alexander S. Balankin ◽  
Baltasar Mena ◽  
M.A. Martínez Cruz
Keyword(s):  
Hausdorff Dimension ◽  
Percolation Cluster ◽  
Two Dimensions ◽  
Critical Percolation ◽  
Geodesic Metric

Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions

1964 ◽  
Vol 5 (8) ◽  
pp. 1117-1127 ◽  
Author(s):  
M. F. Sykes ◽  
J. W. Essam
Keyword(s):  
Two Dimensions ◽  
Critical Percolation

scholarly journals A conformal bootstrap approach to critical percolation in two dimensions

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Marco Picco ◽  
Sylvain Ribault ◽  
Raoul Santachiara
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
Virasoro Algebra ◽  
Two Dimensions ◽  
Critical Percolation ◽  
Conformal Bootstrap ◽  
Bootstrap Approach

We study four-point functions of critical percolation in two dimensions, and more generally of the Potts model. We propose an exact ansatz for the spectrum: an infinite, discrete and non-diagonal combination of representations of the Virasoro algebra. Based on this ansatz, we compute four-point functions using a numerical conformal bootstrap approach. The results agree with Monte-Carlo computations of connectivities of random clusters.

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