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

T. Vicsek; J. Kertész

doi:10.1016/0375-9601(81)90302-9

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

T. Vicsek^*
, J. Kertész

^*Corresponding author for this work

Centre for Energy Research

Research output: Contribution to journal › Article › peer-review

Abstract (may include machine translation)

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 language	English
Pages (from-to)	51-53
Number of pages	3
Journal	Physics Letters A
Volume	81
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(81)90302-9
State	Published - 5 Jan 1981
Externally published	Yes

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10.1016/0375-9601(81)90302-9

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

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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N2 - 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.

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

Abstract (may include machine translation)

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