The efficient determination of the percolation threshold by a frontier-generating walk in a gradient
DOI: 10.1088/0305-4470/19/18/010
关键词: Statistical physics 、 Random walk 、 Lattice (order) 、 Percolation threshold 、 Square lattice 、 Monte Carlo method 、 Maximum efficiency 、 Mathematics
摘要: The frontier in gradient percolation is generated directly by a type of self-avoiding random walk. existence the permits one to generate an infinite walk on computer finite memory. From this walk, threshold pc for two-dimensional lattice can be determined with apparently maximum efficiency naive Monte Carlo calculation (+or-N-12/). For square lattice, value pc=0.592745+or-0.000002 found simulation N=2.6*1011 total steps (occupied and blocked perimeter sites). power method verified Kagome site case.
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