Scaling function and universal amplitude combinations for self-avoiding polygons

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

doi:10.1088/0305-4470/34/36/102

Scaling function and universal amplitude combinations for self-avoiding polygons

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

Research output: Contribution to journal › Letter › peer-review

43 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 language	English
Pages (from-to)	L495-L501
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	36
DOIs	https://doi.org/10.1088/0305-4470/34/36/102
Publication status	Published - 31 Aug 2001
Externally published	Yes

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title = "Scaling function and universal amplitude combinations for self-avoiding polygons",

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.",

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T1 - Scaling function and universal amplitude combinations for self-avoiding polygons

AU - Richard, C.

AU - Guttmann, A. J.

AU - Jensen, I.

PY - 2001/8/31

Y1 - 2001/8/31

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0035860662

U2 - 10.1088/0305-4470/34/36/102

DO - 10.1088/0305-4470/34/36/102

M3 - Letter

AN - SCOPUS:0035860662

SN - 0305-4470

VL - 34

SP - L495-L501

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 36

ER -

Scaling function and universal amplitude combinations for self-avoiding polygons

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