Simple exact treatment of conductance in a random Bethe lattice
- 21 November 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (22) , L510-L516
- https://doi.org/10.1088/0022-3719/8/22/006
Abstract
An exact probabilistic treatment of conduction properties of random Bethe resistor lattices is presented. In the special case of substitutional disorder where a faction 1-p of resistors is removed, the known exact results for the conductance and voltage correlations in the critical region p to pc are readily given. The simplicity of the method allows a generalization to the case where the remaining fraction p of resistors also has an arbitrary distribution. The case where each element of the lattice is composed of several independently distributed resistive and reactive parts is also discussed.Keywords
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