Threshold behaviour of random resistor networks: a synthesis of theoretical approaches
- 20 April 1982
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 15 (11) , 2333-2341
- https://doi.org/10.1088/0022-3719/15/11/013
Abstract
Random resistor networks have been studied previously in several ways, including (i) the Cayley tree model, (ii) the Skal-Shklovskii-de Gennes 'nodes and chains' model, and (iii) position-space renormalisation. Here these approaches are combined, giving a clearer view of the roles of the nodes and chains, and a new explanation of the upper critical dimensionality.Keywords
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