Diode-resistor percolation in two and three dimensions. I. upper bounds on critical probability

Dhar, D. (1982) Diode-resistor percolation in two and three dimensions. I. upper bounds on critical probability Journal of Physics A: Mathematical and General, 15 (6). pp. 1849-1858. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/15/6/025

Related URL: http://dx.doi.org/10.1088/0305-4470/15/6/025

Abstract

Obtains upper bounds to the critical probability for percolation in a random network made of oriented diodes and resistors. It is shown that for the square lattice pc < 0.3700 and for the simple cubic lattice pc < 0.2417.

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