Mean cluster size exponents for percolation on the face centred cubic and triangular lattices

T. Lookman; K. De'bell

doi:10.1016/0375-9601(86)90739-5

Mean cluster size exponents for percolation on the face centred cubic and triangular lattices

T. Lookman
, K. De'bell

Western University
Dalhousie University

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

1 Scopus citations

Abstract

Estimates of the mean cluster size exponent γ obtained from extended series results for the mean bond percolation cluster size (by number of sites) on the triangular and face centred cubic (fcc) lattices are reported. The analysis is consistent with γ=1.742^+0.024_-0.030 (d=3) for the fcc lattice and γ=2.387^+0.011_-0.006 (d=2) for the triangular lattice.

Original language	English
Pages (from-to)	197-198
Number of pages	2
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	117
Issue number	4
DOIs	https://doi.org/10.1016/0375-9601(86)90739-5
State	Published - 11 Aug 1986
Externally published	Yes

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10.1016/0375-9601(86)90739-5

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title = "Mean cluster size exponents for percolation on the face centred cubic and triangular lattices",

abstract = "Estimates of the mean cluster size exponent γ obtained from extended series results for the mean bond percolation cluster size (by number of sites) on the triangular and face centred cubic (fcc) lattices are reported. The analysis is consistent with γ=1.742+0.024-0.030 (d=3) for the fcc lattice and γ=2.387+0.011-0.006 (d=2) for the triangular lattice.",

author = "T. Lookman and K. De'bell",

year = "1986",

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doi = "10.1016/0375-9601(86)90739-5",

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T1 - Mean cluster size exponents for percolation on the face centred cubic and triangular lattices

AU - Lookman, T.

AU - De'bell, K.

PY - 1986/8/11

Y1 - 1986/8/11

N2 - Estimates of the mean cluster size exponent γ obtained from extended series results for the mean bond percolation cluster size (by number of sites) on the triangular and face centred cubic (fcc) lattices are reported. The analysis is consistent with γ=1.742+0.024-0.030 (d=3) for the fcc lattice and γ=2.387+0.011-0.006 (d=2) for the triangular lattice.

AB - Estimates of the mean cluster size exponent γ obtained from extended series results for the mean bond percolation cluster size (by number of sites) on the triangular and face centred cubic (fcc) lattices are reported. The analysis is consistent with γ=1.742+0.024-0.030 (d=3) for the fcc lattice and γ=2.387+0.011-0.006 (d=2) for the triangular lattice.

UR - https://www.scopus.com/pages/publications/46149131890

U2 - 10.1016/0375-9601(86)90739-5

DO - 10.1016/0375-9601(86)90739-5

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SN - 0375-9601

VL - 117

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EP - 198

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

Mean cluster size exponents for percolation on the face centred cubic and triangular lattices

Abstract

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