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• W2036424382 abstract "Following Nienhuis' (1982) exact evaluation of the connective constant of the honeycomb lattice self-avoiding walk model, and the exact exponent values he has conjectured, the author has re-examined the available data on all three regular two-dimensional lattices. In the case of the triangular lattice the author has additionally corrected and extended the extant series. The author finds support for Nienhuis' value gamma =111/32 for all three lattices, and further finds that alpha =1/2 for all three lattices, as given by Nienhuis' result nu =3/4 and the hyperscaling relation d nu =2- alpha . The author is unable to find any consistent evidence of a 'correction-to-scaling' exponent Delta 1<1 from the walk generating function, though other workers have found such an exponent for the mean square end-to-end distance series. But an exponent Delta 1>1 cannot be ruled out." @default.
• W2036424382 created "2016-06-24" @default.
• W2036424382 creator A5043284454 @default.
• W2036424382 date "1984-02-01" @default.
• W2036424382 modified "2023-10-16" @default.
• W2036424382 title "On two-dimensional self-avoiding random walks" @default.
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• W2036424382 doi "https://doi.org/10.1088/0305-4470/17/2/030" @default.
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