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
N Joshi and M Mazzocco 2003 Nonlinearity 16 427
U Saha and R Ghosh 1999 J. Phys. D: Appl. Phys. 32 820
A N F Aleixo et al 2000 J. Phys. A: Math. Gen. 33 1503
Z Jiang et al 2009 Metrologia 46 214
Apollo Segal 1999 J. Phys. D: Appl. Phys. 32 991
Ken Kamrin et al 2007 Modelling Simul. Mater. Sci. Eng. 15 S449
Rostislav V Lapshin 2004 Nanotechnology 15 1135
D Liu et al 2004 J. Micromech. Microeng. 14 567
A Picard 2006 Metrologia 43 46