Spiralling self-avoiding walks: an exact solution
- 21 February 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (3) , L111-L115
- https://doi.org/10.1088/0305-4470/17/3/004
Abstract
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.Keywords
This publication has 4 references indexed in Scilit:
- Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gasJournal of Statistical Physics, 1984
- Spiral self-avoiding walksJournal of Physics A: General Physics, 1983
- Exact Critical Point and Critical Exponents ofModels in Two DimensionsPhysical Review Letters, 1982
- Asymptotic Formulaae in Combinatory AnalysisProceedings of the London Mathematical Society, 1918