Percolation of sticks: Effect of stick alignment and length dispersity

  title={Percolation of sticks: Effect of stick alignment and length dispersity},
  author={Yuri Yu. Tarasevich and Andrei V. Eserkepov},
  journal={Physical Review E},
Using Monte Carlo simulation, we studied the percolation of sticks, i.e. zero-width rods, on a plane paying special attention to the effects of stick alignment and their length dispersity. The stick lengths were distributed in accordance with log-normal distributions, providing a constant mean length with different widths of distribution. Scaling analysis was performed to obtain the percolation thresholds in the thermodynamic limits for all values of the parameters. Greater alignment of the… 

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Continuum Percolation Thresholds in Two Dimensions

  • S. MertensC. Moore
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2012
This work finds precise values of the percolation transition for disks, squares, rotated squares, and rotated sticks in two dimensions and confirms that these transitions behave as conformal field theory predicts.