Percolation through voids around overlapping spheres: a dynamically based finite-size scaling analysis.

@article{Priour2012PercolationTV,
  title={Percolation through voids around overlapping spheres: a dynamically based finite-size scaling analysis.},
  author={Donald Priour},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={89 1},
  pages={
          012148
        }
}
  • D. Priour
  • Published 1 August 2012
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The percolation threshold for flow or conduction through voids surrounding randomly placed spheres is calculated. With large-scale Monte Carlo simulations, we give a rigorous continuum treatment to the geometry of the impenetrable spheres and the spaces between them. To properly exploit finite-size scaling, we examine multiple systems of differing sizes, with suitable averaging over disorder, and extrapolate to the thermodynamic limit. An order parameter based on the statistical sampling of… 

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