Self-avoiding walks attached to triangular and face-centred cubic lattice surfaces: Extended exact enumeration data

K. De’Bell; T. Lookman

doi:10.1088/0305-4470/18/8/010

Self-avoiding walks attached to triangular and face-centred cubic lattice surfaces: Extended exact enumeration data

K. De’Bell
, T. Lookman

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

8 Scopus citations

Abstract

Analysis of exact enumeration data of self-avoiding walks attached to the surfaces of triangular and face-centred cubic lattices is consistent with y₁=0.718±0.008+ 136 Δp_c where Δp_c=p_c-0.0995, in three dimensions and 0.9530≤y₁ 0.9548 in two dimensions, where pc for the triangular lattice is assumed to lie in the range 0.240 915 ≤ pc≤ 0.240 93.

Original language	English
Pages (from-to)	L457-L461
Journal	Journal of Physics A: Mathematical and General
Volume	18
Issue number	8
DOIs	https://doi.org/10.1088/0305-4470/18/8/010
State	Published - 1 Jun 1985
Externally published	Yes

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10.1088/0305-4470/18/8/010

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title = "Self-avoiding walks attached to triangular and face-centred cubic lattice surfaces: Extended exact enumeration data",

abstract = "Analysis of exact enumeration data of self-avoiding walks attached to the surfaces of triangular and face-centred cubic lattices is consistent with y1=0.718±0.008+ 136 Δpc where Δpc=pc-0.0995, in three dimensions and 0.9530≤y1 0.9548 in two dimensions, where pc for the triangular lattice is assumed to lie in the range 0.240 915 ≤ pc≤ 0.240 93.",

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year = "1985",

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AU - De’Bell, K.

AU - Lookman, T.

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Y1 - 1985/6/1

N2 - Analysis of exact enumeration data of self-avoiding walks attached to the surfaces of triangular and face-centred cubic lattices is consistent with y1=0.718±0.008+ 136 Δpc where Δpc=pc-0.0995, in three dimensions and 0.9530≤y1 0.9548 in two dimensions, where pc for the triangular lattice is assumed to lie in the range 0.240 915 ≤ pc≤ 0.240 93.

AB - Analysis of exact enumeration data of self-avoiding walks attached to the surfaces of triangular and face-centred cubic lattices is consistent with y1=0.718±0.008+ 136 Δpc where Δpc=pc-0.0995, in three dimensions and 0.9530≤y1 0.9548 in two dimensions, where pc for the triangular lattice is assumed to lie in the range 0.240 915 ≤ pc≤ 0.240 93.

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DO - 10.1088/0305-4470/18/8/010

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JO - Journal of Physics A: Mathematical and General

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IS - 8

ER -

Self-avoiding walks attached to triangular and face-centred cubic lattice surfaces: Extended exact enumeration data

Abstract

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