Random manifolds in non-linear resistor networks: Applications to varistors and superconductors
A. Donev, C. E. Musolff, P. M. Duxbury
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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