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H W J Blote1 and H J Hilhorst1
Published under licence by IOP Publishing Ltd
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Citation H W J Blote and H J Hilhorst 1984 J. Phys. A: Math. Gen. 17 L111
DOI 10.1088/0305-4470/17/3/004
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An exact solution is presented to a problem of spiralling self-avoiding walks on the square lattice recently proposed by Privman (1983). For N to infinity , the number of N-step spiral walks increases as cN approximately=2-23-5/4 pi N-7/4 exp(2 pi (N/3)1/2), and their root-mean-square end-to-end distance behaves as RN approximately=1/2 square root pi -1N1/2 log N.
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