Scaling function and universal amplitude combinations for self-avoiding polygons

Authors
Richard, C Guttmann, AJ Jensen, I
Citation
C. Richard et al., Scaling function and universal amplitude combinations for self-avoiding polygons, J PHYS A, 34(36), 2001, pp. L495-L501
Citations number
23
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
36
Year of publication
2001
Pages
L495 - L501
Database
ISI
SICI code
0305-4470(20010914)34:36<L495:SFAUAC>2.0.ZU;2-C
Abstract
We analyse. new data for self-avoiding polygons (SAPs), on the square and t riangular lattices, enumerated by both perimeter and area, providing eviden ce that the scaling function is the logarithm of an Airy function. The resu lts imply universal amplitude combinations for all area moments and suggest that rooted SAPs may satisfy a q-algebraic functional equation.