Threshold behaviour of random resistor networks: A synthesis of theoretical approaches

J. P. Straley

doi:10.1088/0022-3719/15/11/013

Threshold behaviour of random resistor networks: A synthesis of theoretical approaches

J. P. Straley

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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.

Original language	English
Article number	013
Pages (from-to)	2333-2341
Number of pages	9
Journal	Journal of Physics C: Solid State Physics
Volume	15
Issue number	11
DOIs	https://doi.org/10.1088/0022-3719/15/11/013
State	Published - 1982

ASJC Scopus subject areas

Condensed Matter Physics
General Engineering
General Physics and Astronomy

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title = "Threshold behaviour of random resistor networks: A synthesis of theoretical approaches",

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.",

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AB - 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.

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Threshold behaviour of random resistor networks: A synthesis of theoretical approaches

Abstract

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