Large Lattice Simulation of Random Site Percolation

Shane Macleod and Naeem Jan ()
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Shane Macleod: Physics Department, St. Francis Xavier University, Antigonish, Box 5000, Nova Scotia, CANADA B2G 2W5, Canada
Naeem Jan: Physics Department, St. Francis Xavier University, Antigonish, Box 5000, Nova Scotia, CANADA B2G 2W5, Canada

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 02, 289-294

Abstract: We simulate systems up to4*1012sites on a square lattice at the percolation threshold,pc=0.592746. We confirmτ=187/91, and report that the correction to scaling exponent,Δ1=0.65±0.05. The mass of the largest and second largest cluster scales with the fractal dimensionality,df=91/48. These exponents, apart from the correction-to-scaling exponent,Δ1, are expected from exact calculations and previous substantial numerical work.

Keywords: Random Site; Percolation; Critical Exponents; Monte Carlo Simulations (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000212

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