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A transfer-matrix approach to random resistor networks

1982; Institute of Physics; Volume: 15; Issue: 10 Linguagem: Inglês

10.1088/0305-4470/15/10/007

1361-6447

Bernard Derrida, J. Vannimenus,

Thermal properties of materials

Introduces a transfer-matrix formulation to compute the conductance of random resistor networks. The authors apply this method to strips of width up to 40, and use finite size scaling arguments to obtain an estimate for the conductivity critical exponent in two dimensions, t=1.28+or-0.03.