Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices

I. Jensen; A. J. Guttmann

doi:10.1088/0305-4470/31/40/008

Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices

I. Jensen, A. J. Guttmann

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

38 Citations (Scopus)

Abstract

We study self-avoiding and neighbour-avoiding walks and lattice trails on two semiregular lattices, the (3.12²) lattice and the (4.8²) lattice. For the (3.12²) lattice we find the exact connective constant for both self-avoiding walks, neighbour-avoiding walks and trails. For the (4.8²) lattice we generate long series which permit the accurate estimation of the connective constant for self-avoiding walks and trails.

Original language	English
Pages (from-to)	8137-8145
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	40
DOIs	https://doi.org/10.1088/0305-4470/31/40/008
Publication status	Published - 9 Oct 1998
Externally published	Yes

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abstract = "We study self-avoiding and neighbour-avoiding walks and lattice trails on two semiregular lattices, the (3.122) lattice and the (4.82) lattice. For the (3.122) lattice we find the exact connective constant for both self-avoiding walks, neighbour-avoiding walks and trails. For the (4.82) lattice we generate long series which permit the accurate estimation of the connective constant for self-avoiding walks and trails.",

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AB - We study self-avoiding and neighbour-avoiding walks and lattice trails on two semiregular lattices, the (3.122) lattice and the (4.82) lattice. For the (3.122) lattice we find the exact connective constant for both self-avoiding walks, neighbour-avoiding walks and trails. For the (4.82) lattice we generate long series which permit the accurate estimation of the connective constant for self-avoiding walks and trails.

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Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices

Abstract

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