Published September 14, 2001 | Version v1
Journal article

Scaling function and universal amplitude combinations for self-avoiding polygons

  • 1. Department of Mathematics and Statistics, University of Melbourne, VIC (Australia)

Description

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. (author). Letter-to-the-editor

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
34
Journal Issue
36
Journal Page Range
p. L495-L501
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
32066446
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
AIRY FUNCTIONS; AMPLITUDES; CRYSTAL LATTICES; DIFFERENTIAL EQUATIONS; SCALE MODELS; TRIGONAL LATTICES
Descriptors DEC
CRYSTAL LATTICES; CRYSTAL STRUCTURE; EQUATIONS; FUNCTIONS; STRUCTURAL MODELS