Connectivity-dependent properties of diluted sytems in a transfer-matrix description
نویسندگان
چکیده
We introduce an approach to connectivity-dependent properties of diluted systems, which is based on the transfer-matrix formulation of the percolation problem. It simultaneously incorporates the connective properties reflected in nonzero matrix elements and allows one to use standard random-matrix multiplication techniques. Thus it is possible to investigate physical processes on the percolation structure with the high efficiency and precision characteristic of transfer-matrix methods, while avoiding disconnections. The method is illustrated for two-dimensional site percolation by calculating the finite-size longitudinal dc conductivity for ~i! the critical correlation length along the strip, ~ii! at the percolation threshold, and ~iii! very near the pure-system limit. @S1063-651X~98!51406-7#
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