Published in

IOP Publishing, Journal of Physics A: Mathematical and General, 8(33), p. 1683-1692

DOI: 10.1088/0305-4470/33/8/312

Links

Tools

Export citation

Search in Google Scholar

Percolation and Conduction in Restricted Geometries

Journal article published in 2000 by P. Lajko, L. Turban ORCID
This paper is available in a repository.
This paper is available in a repository.

Full text: Download

Green circle
Preprint: archiving allowed
Upload
Orange circle
Postprint: archiving restricted
Upload
Red circle
Published version: archiving forbidden
Policy details
Data provided by SHERPA/RoMEO

Abstract

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.