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

A. Donev, C. E. Musolff, P. M. Duxbury

Research output: Contribution to journalArticle


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.

Original languageEnglish (US)
Pages (from-to)L327-L333
JournalJournal of Physics A: Mathematical and General
Issue number23
StatePublished - Jun 14 2002


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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