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 |
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Pages (from-to) | 163-178 |
Number of pages | 16 |
Journal | Journal of Physics: Conference Series |
Volume | 42 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jul 2006 |
Externally published | Yes |