Iwan Jensen 2006 J. Phys.: Conf. Ser. 42 163 doi:10.1088/1742-6596/42/1/016
Iwan Jensen
Show affiliationsWe 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.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
51E12 Generalized quadrangles, generalized polygons
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 1 (2006)
Iwan Jensen 2006 J. Phys.: Conf. Ser. 42 163
A Miković 2003 Class. Quantum Grav. 20 239
Yu F Borisov et al 1988 Russ. Math. Surv. 43 191
Alfredo Macías and Tonatiuh Matos 1996 Class. Quantum Grav. 13 345
A Dereux et al 2003 Nanotechnology 14 935
Lars M Johansen 2004 J. Opt. B: Quantum Semiclass. Opt. 6 L21
E K Athanassiou et al 2006 Nanotechnology 17 1668
Tamara Bechtold et al 2005 J. Micromech. Microeng. 15 430
Mikolaj Misiak 2001 J. Phys. G: Nucl. Part. Phys. 27 1051
D J Littler and E E Lockett 1953 Proc. Phys. Soc. A 66 700