Percolation of fully penetrable disks using the three-leg cluster method

DOI10.1088/1751-8121/acc3d0OpenAlexW4324028987MaRDI QIDQ5885287

P. Brzeski, Zbigniew Koza, Grzegorz Kondrat

Publication date: 3 April 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/acc3d0

zbMATH Keywords

Monte Carlopercolationphase transitioncrossing probabilityfinite-size scaling

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Recent advances in percolation theory and its applications
• The critical probability of bond percolation on the square lattice equals 1/2
• Percolation and the pandemic
• Efficient measurement of the percolation threshold for fully penetrable discs
• Critical percolation in finite geometries
• A formula for crossing probabilities of critical systems inside polygons
• From discrete to continuous percolation in dimensions 3 to 7
• Critical points of Potts and O(N) models from eigenvalue identities in periodic Temperley–Lieb algebras
• Numerical results for crossing, spanning and wrapping in two-dimensional percolation

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