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

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

2005-10-27

arxiv.org/abs/cond-mat/0510724v1

J. Phys:Conf. Ser. 42, 163-178 (2006)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 9 figures, jpconf style files. Presented at the conference "Counting Complexity: An international workshop on statis

Scientific paper

10.1088/1742-6596/42/1/016

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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