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

Iwan Jensen

doi:10.1088/1742-6596/42/1/016

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

Iwan Jensen

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

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 language	English
Pages (from-to)	163-178
Number of pages	16
Journal	Journal of Physics: Conference Series
Volume	42
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/42/1/016
Publication status	Published - 1 Jul 2006
Externally published	Yes

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10.1088/1742-6596/42/1/016Licence: In Copyright

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AB - 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.

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