Monte Carlo study of the percolating cluster for the square lattice site problem
K M Middlemiss; S G Whittington; D S Gaunt; K M Middlemiss; Dept. of Chem., Univ. of Toronto, Toronto, Ont., Canada; S G Whittington; Dept. of Chem., Univ. of Toronto, Toronto, Ont., Canada; D S Gaunt; Dept. of Chem., Univ. of Toronto, Toronto, Ont., Canada
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1980-05-01
Аннотация:
Clusters which just span finite lattices of various sizes have been generated using a Monte Carlo method. These have been analysed to form estimates of the mean values of cyclomatic index, valence and perimeter. In addition the shortest spanning self-avoiding walk has been characterised. The ramified nature of these clusters is discussed in terms of these properties.
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