Articles in peer-reviewed journals
| Percolation and conduction in restricted geometries |
| Lajko P., Turban L. |
| Journal of Physics A: Mathematical and General 33 (2000) 1683 |
| DOI : 10.1088/0305-4470/33/8/312 |
| ArXiv : cond-mat/0002070 [PDF] |
| HAL : hal-00113121 |
The finite-size scaling behaviour for percolation and conduction is studied in two-dimensional triangular-shaped random resistor networks at the percolation threshold. The numerical simulations are performed using an efficient star-triangle algorithm. The percolation exponents, linked to the critical behaviour at corners, are in good agreement with the conformal results. The conductivity exponent, t1 = ΞΆ/v, is found to be independent of the shape of the system. Its value is very close to recent estimates for the surface and bulk conductivity exponents. |