Finite size scaling study of percolation on the honeycomb lattice with various length to width ratios

T. Vicsek, J. Kertész

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20 Citations (Scopus)

Abstract

A Monte Carlo method based on finite size scaling of samples with various length to width ratios is proposed to determine the critical point of percolation. For the honeycomb site problem the ratio 0.6973 ± 0.0008 is found in contradiction with Kondor's result 1 √2 which in equivalent to Wu's conjecture.

Original languageEnglish
Pages (from-to)51-53
Number of pages3
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume81
Issue number1
DOIs
Publication statusPublished - Jan 5 1981

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Monte Carlo method
critical point
scaling

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "A Monte Carlo method based on finite size scaling of samples with various length to width ratios is proposed to determine the critical point of percolation. For the honeycomb site problem the ratio 0.6973 ± 0.0008 is found in contradiction with Kondor's result 1 √2 which in equivalent to Wu's conjecture.",
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