Size and area of square lattice polygons

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We use the finite lattice method to calculate the radius of gyration, the first and second area-weighted moments of self-avoiding polygons on the square lattice. The series have been calculated for polygons up to perimeter 82. Analysis of the series yields high accuracy estimates confirming theoretical predictions for the value of the size exponent, v = 3/4, and certain universal amplitude combinations. Furthermore, a detailed analysis of the asymptotic form of the series coefficients provide the firmest evidence to date for the existence of a correction-to-scaling exponent, Δ = 3/2.

Original languageEnglish
Pages (from-to)3533-3543
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number18
DOIs
Publication statusPublished - 12 May 2000
Externally publishedYes

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