NDLI: The size and number of rings on the square lattice

Content Provider	Scilit
Author	Guttmann, Anthony Enting, I. G.
Copyright Year	1988
Description	Journal: Journal of Physics A: General Physics The authors have calculated the number of self-avoiding polygons on the square lattice to 56 steps, and the caliper size to 54 steps. Analysis of the generating function permits estimates of the connective constant, mu =2.638 $1585+or-10^{-6}$ and the critical exponents alpha =0.500 06+or-0.000 06 and v=0.753+or-0.007. The singularity structure of the polygon generating function is found to be consistent with a correction to the scaling exponent Delta =1.5, as predicted by Nienhuis (1982, 1984). The confluent part, however, maps into the additive analytic term due to the value of the exponent alpha .
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/21/3/009/pdf
Ending Page	L172
Page Count	8
Starting Page	L165
ISSN	00223689
DOI	10.1088/0305-4470/21/3/009
Journal	Journal of Physics A: General Physics
Issue Number	3
Volume Number	21
Language	English
Publisher	IOP Publishing
Publisher Date	1988-02-07
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Mathematical Physics Size and Number Connective Constant Exponent Alpha Square Lattice
Content Type	Text
Resource Type	Article

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The size and number of rings on the square lattice