Number of two-choice and spiral self-avoiding loops
- 1 February 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (2) , L71-L74
- https://doi.org/10.1088/0305-4470/18/2/004
Abstract
The number of independent self-avoiding walk (SAW) loop configurations (CN) for fixed perimeter length N on the square lattice is fitted here to the scaling form CN approximately mu NNh, for SAWS with various constraints. For two-choice SAWS, extrapolation of enumeration results gives h=-1.5+or-0.1 (which falls in the same universality class as ordinary SAWS) and exact calculations for spiral SAWS give h=3.Keywords
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