Honeycomb lattice polygons and walks as a test of series analysis techniques

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9 Citations (Scopus)

Abstract

We have calculated long series expansions for self-avoiding walks and polygons on the honeycomb lattice, including series for metric properties such as mean-squared radius of gyration as well as series for moments of the area-distribution for polygons. Analysis of the series yields accurate estimates for the connective constant, critical exponents and amplitudes of honeycomb self-avoiding walks and polygons. The results from the numerical analysis agree to a high degree of accuracy with theoretical predictions for these quantities.

Original languageEnglish
Pages (from-to)163-178
Number of pages16
JournalJournal of Physics: Conference Series
Volume42
Issue number1
DOIs
Publication statusPublished - 1 Jul 2006
Externally publishedYes

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