LETTER TO THE EDITOR: 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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- September 2001
- DOI:
- 10.1088/0305-4470/34/36/102
- arXiv:
- arXiv:cond-mat/0107329
- Bibcode:
- 2001JPhA...34L.495R
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 9 pages