Finite-size scaling analysis of percolation in three-dimensional correlated binary Markov chain random fields.

  title={Finite-size scaling analysis of percolation in three-dimensional correlated binary Markov chain random fields.},
  author={Thomas Harter},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={72 2 Pt 2},
  • T. Harter
  • Published 18 August 2005
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Percolation and finite-size scaling properties in three-dimensional binary correlated Markov-chain random fields on a cubic lattice are computed by extensive Monte Carlo simulation. At short correlation scales, the percolation threshold in correlated random fields decreases as the correlation scale increases. The rate of decrease rapidly diminishes for correlation lengths larger than 2-3 lattice sites. At correlation scales of 4-6 lattice sites, the percolation threshold is found to be 0.126… 

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