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

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

doi:10.1088/0305-4470/35/23/102

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	L327-L333
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	23
DOIs	https://doi.org/10.1088/0305-4470/35/23/102
State	Published - Jun 14 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

Access to Document

10.1088/0305-4470/35/23/102

Cite this

@article{79d7bb757381482eb2dc3d89e2701d24,

title = "Random manifolds in non-linear resistor networks: Applications to varistors and superconductors",

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.",

author = "A. Donev and Musolff, {C. E.} and Duxbury, {P. M.}",

year = "2002",

month = jun,

day = "14",

doi = "10.1088/0305-4470/35/23/102",

language = "English (US)",

volume = "35",

pages = "L327--L333",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "23",

}

TY - JOUR

T1 - Random manifolds in non-linear resistor networks

T2 - Applications to varistors and superconductors

AU - Donev, A.

AU - Musolff, C. E.

AU - Duxbury, P. M.

PY - 2002/6/14

Y1 - 2002/6/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037076835&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037076835&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/35/23/102

DO - 10.1088/0305-4470/35/23/102

M3 - Article

AN - SCOPUS:0037076835

SN - 0305-4470

VL - 35

SP - L327-L333

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 23

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this