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Random manifolds in non-linear resistor networks: Applications to varistors and superconductors

A. Donev·C. E. Musolff·P. M. Duxbury
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Abstract

We show that current localization in polycrystalline varistors occurs on paths which are, usually, in the universality class of the directed polymer in a random medium. We also show that in ceramic superconductors, voltage localizes on a surface which maps to an Ising domain wall. The emergence of these manifolds is explained and their structure is illustrated using direct solution of non-linear resistor networks.

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A. Donev, C. E. Musolff, P. M. Duxbury. 2001-10-01. Random manifolds in non-linear resistor networks: Applications to varistors and superconductors. https://doi.org/10.1088/0305-4470%2F35%2F23%2F102

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