Percolation and Conduction in Restricted Geometries

Details Percolation and Conduction in Restricted Geometries Percolation and Conduction in Restricted Geometries

2000-02-04

arxiv.org/abs/cond-mat/0002070v1

J. Phys. A, 33 (2000) 1683

Physics

Condensed Matter

Statistical Mechanics

10 pages, 7 figures, TeX, IOP macros included

Scientific paper

10.1088/0305-4470/33/8/312

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, t', 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.

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