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

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

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number23
DOIs
StatePublished - Jun 14 2002

Fingerprint

Ceramic superconductors
Directed Polymers
varistors
Varistors
Random Media
Domain walls
Domain Wall
Superconductor
Ising
resistors
Resistors
Superconducting materials
Universality
domain wall
Voltage
ceramics
Path
polymers
Electric potential
electric potential

ASJC Scopus subject areas

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

Cite this

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

In: Journal of Physics A: Mathematical and General, Vol. 35, No. 23, 14.06.2002.

Research output: Contribution to journalArticle

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