2019/10/31 by Yuri Yu. Tarasevich, Andrei V. Eserkepov
Engineering · Mathematics · Neuroscience · Physics and Astronomy · Psychology · #Color Science and Applications #Engineering #Estimation #Materials science #Mathematics #Nanomaterials and Printing Technologies #Neural dynamics and brain function #Percolation (cognitive psychology) #Physics #Psychology #Range (aeronautics) #Statistical physics #Statistics #cond-mat.dis-nn #physics.comp-ph
paper · pdf · doi:10.1103/physreve.101.022108
published as Phys. Rev. E 101, 022108 (2020) · 4 pages, 6 figures, 1 table, 28 references
arxiv created 2019/12/08 · openalex publication_date 2020/02/07 · arxiv updated 2020/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 intermediate values of ɛ the percolation threshold lies between the percolation thresholds for ellipses and rectangles and approaches the latter as the aspect ratio increases.