scholarly journals Strict Inequality for the Chemical Distance Exponent in Two‐Dimensional Critical Percolation

2020 ◽  
Author(s):  
Michael Damron ◽  
Jack Hanson ◽  
Philippe Sosoe
Keyword(s):  
Strict Inequality ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Chemical Distance

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.

Ideal chain on a two-dimensional critical percolation cluster

1992 ◽  
Vol 25 (8) ◽  
pp. L461-L468 ◽  
Author(s):  
A Giacometti ◽  
H Nakanishi ◽  
A Maritan ◽  
N H Fuchs
Keyword(s):  
Percolation Cluster ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Ideal Chain

scholarly journals On the chemical distance in critical percolation

2017 ◽  
Vol 22 (0) ◽  
Author(s):  
Michael Damron ◽  
Jack Hanson ◽  
Philippe Sosoe
Keyword(s):  
Critical Percolation ◽  
Chemical Distance

scholarly journals The lowest crossing in two-dimensional critical percolation

2003 ◽  
Vol 31 (3) ◽  
pp. 1241-1253 ◽  
Author(s):  
A. A. J�rai ◽  
J. van den Berg
Keyword(s):  
Two Dimensional ◽  
Critical Percolation

ISING CLUSTER FRAGMENTATION AT THE CRITICAL POINT

1999 ◽  
Vol 10 (06) ◽  
pp. 1059-1063
Author(s):  
MUYOUNG HEO ◽  
MOOKYUNG CHEON ◽  
IKSOO CHANG ◽  
DIETRICH STAUFFER
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Critical Point ◽  
Curie Point ◽  
Scaling Law ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Percolation Clusters ◽  
Cluster Fragmentation

The scaling law of Edwards et al., for cluster fragmentation of critical percolation clusters is not confirmed by analogous Monte Carlo simulations at the Curie point of the two-dimensional Ising model.

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