Freezing into stripe states in two-dimensional ferromagnets and crossing probabilities in critical 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.

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Exact factorization of correlation functions in two-dimensional critical percolation

Physical Review E ◽

10.1103/physreve.76.041106 ◽

2007 ◽

Vol 76 (4) ◽

Cited By ~ 10

Author(s):

Jacob J. H. Simmons ◽

Peter Kleban ◽

Robert M. Ziff

Keyword(s):

Correlation Functions ◽

Two Dimensional ◽

Critical Percolation ◽

Exact Factorization

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Ideal chain on a two-dimensional critical percolation cluster

Journal of Physics A General Physics ◽

10.1088/0305-4470/25/8/014 ◽

1992 ◽

Vol 25 (8) ◽

pp. L461-L468 ◽

Cited By ~ 11

Author(s):

A Giacometti ◽

H Nakanishi ◽

A Maritan ◽

N H Fuchs

Keyword(s):

Percolation Cluster ◽

Two Dimensional ◽

Critical Percolation ◽

Ideal Chain

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Fate of 2D Kinetic Ferromagnets and Critical Percolation Crossing Probabilities

Physical Review Letters ◽

10.1103/physrevlett.109.195702 ◽

2012 ◽

Vol 109 (19) ◽

Cited By ~ 34

Author(s):

J. Olejarz ◽

P. L. Krapivsky ◽

S. Redner

Keyword(s):

Critical Percolation ◽

Crossing Probabilities

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Lectures on two-dimensional critical percolation

Statistical Mechanics - IAS/Park City Mathematics Series ◽

10.1090/pcms/016/06 ◽

2009 ◽

pp. 297-360 ◽

Cited By ~ 12

Author(s):

Wendelin Werner

Keyword(s):

Two Dimensional ◽

Critical Percolation

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On the universality of crossing probabilities in two-dimensional percolation

Journal of Statistical Physics ◽

10.1007/bf01049720 ◽

1992 ◽

Vol 67 (3-4) ◽

pp. 553-574 ◽

Cited By ~ 106

Author(s):

R. P. Langlands ◽

C. Pichet ◽

Ph. Pouliot ◽

Y. Saint-Aubin

Keyword(s):

Two Dimensional ◽

Crossing Probabilities

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The lowest crossing in two-dimensional critical percolation

The Annals of Probability ◽

10.1214/aop/1055425778 ◽

2003 ◽

Vol 31 (3) ◽

pp. 1241-1253 ◽

Cited By ~ 4

Author(s):

A. A. J�rai ◽

J. van den Berg

Keyword(s):

Two Dimensional ◽

Critical Percolation

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Crossing probabilities on same-spin clusters in the two-dimensional Ising model

Journal of Physics A General Physics ◽

10.1088/0305-4470/34/9/302 ◽

2001 ◽

Vol 34 (9) ◽

pp. 1825-1835 ◽

Cited By ~ 11

Author(s):

Ervig Lapalme ◽

Yvan Saint-Aubin

Keyword(s):

Ising Model ◽

Two Dimensional ◽

Spin Clusters ◽

Crossing Probabilities

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Renormalization Group Approach for Critical Percolation Behavior in a Two Dimensional Bond Percolating Square Lattice

Journal of the Physical Society of Japan ◽

10.1143/jpsj.50.1063 ◽

1981 ◽

Vol 50 (4) ◽

pp. 1063-1066

Author(s):

Chiaki Murase

Keyword(s):

Renormalization Group ◽

Square Lattice ◽

Two Dimensional ◽

Critical Percolation ◽

Group Approach ◽

Percolation Behavior ◽

Renormalization Group Approach

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ISING CLUSTER FRAGMENTATION AT THE CRITICAL POINT

International Journal of Modern Physics C ◽

10.1142/s0129183199000851 ◽

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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