B J Hiley et al 1977 J. Phys. A: Math. Gen. 10 197 doi:10.1088/0305-4470/10/2/009
B J Hiley, J L Finney and T Burke
Show affiliationsExact numerical data on self-avoiding walks are presented for the irregular network studied by Finney (1970) in connection with the Bernal model of a liquid and for a face-centred cubic lattice with randomly removed bonds. Averages for the total number of walks Cn, and polygonal closures Un, are defined and found to be consistent with Cn approximately mu nng, Un approximately mu nnh where the critical parameters g and h have the same values as those obtained from the regular lattices. The mean-square end-to-end distances (Rn2) are also studied and the critical parameter theta is found to have the usually accepted value of 6/5. The results add further support to the conjecture that these exponents depend only on the dimensionality and are not affected by the irregularity of the network.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 2 (February 1977)
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