Percolation thresholds for discorectangles: Numerical estimation for a range of aspect ratios.

  title={Percolation thresholds for discorectangles: Numerical estimation for a range of aspect ratios.},
  author={Yuri Yu. Tarasevich and Andrei V. Eserkepov},
  journal={Physical review. E},
  volume={101 2-1},
Using Monte Carlo simulation, we have studied the percolation of discorectangles. Also known as stadiums or two-dimensional spherocylinders, a discorectangle is a rectangle with semicircles at a pair of opposite sides. Scaling analysis was performed to obtain the percolation thresholds in the thermodynamic limits. We found that (i) for the two marginal aspect ratios ɛ=1 (disc) and ɛ→∞ (stick) the percolation thresholds coincide with known values within the statistical error and (ii) for… 

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