Simple exact treatment of conductance in a random Bethe lattice

Keinrichs, J. ; Kumar, N. (1975) Simple exact treatment of conductance in a random Bethe lattice Journal of Physics C: Solid State Physics, 8 (22). L510-L516. ISSN 0022-3719

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Official URL: http://iopscience.iop.org/0022-3719/8/22/006

Related URL: http://dx.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.

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Deposited On:29 Feb 2012 12:08
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