An exact solution for a spiral self-avoiding walk model on the triangular lattice
- 21 April 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (6) , L293-L298
- https://doi.org/10.1088/0305-4470/18/6/006
Abstract
Exact results are derived for the number sn of spiral self-avoiding walks with n steps on the triangular lattice. In particle, a closed-form expression is presented for the generating function S(x)= Sigma n=1infinity /snxn. This result is used to establish a complete asymptotic expansion for sn which is valid as n to infinity .Keywords
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