Scaling function and universal amplitude combinations for self-avoiding polygons

C. Richard, A. J. Guttmann, I. Jensen

Research output: Contribution to journalLetterpeer-review

39 Citations (Scopus)

Abstract

We analyse new data for self-avoiding polygons (SAPs), on the square and triangular lattices, enumerated by both perimeter and area, providing evidence that the scaling function is the logarithm of an Airy function. The results imply universal amplitude combinations for all area moments and suggest that rooted SAPs may satisfy a q-algebraic functional equation.

Original languageEnglish
Pages (from-to)L495-L501
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number36
DOIs
Publication statusPublished - 31 Aug 2001
Externally publishedYes

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