A lower bound on the variance of conductance in random resistor networks

Jan Wehr

doi:10.1007/BF02183627

A lower bound on the variance of conductance in random resistor networks

Jan Wehr

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

8 Scopus citations

Abstract

We study the conductance of random resistor networks in d≥2 dimensions. It is shown (under some technical assumptions) that if a network exhibits a non-zero conductivity in the infinite-volume limit, then the variance of a finite-volume conductance grows at least like the volume.

Original language	English (US)
Pages (from-to)	1359-1365
Number of pages	7
Journal	Journal of Statistical Physics
Volume	86
Issue number	5-6
DOIs	https://doi.org/10.1007/BF02183627
State	Published - Mar 1997

Keywords

Conductivity
Fluctuations
Random media
Variance bounds

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02183627

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abstract = "We study the conductance of random resistor networks in d≥2 dimensions. It is shown (under some technical assumptions) that if a network exhibits a non-zero conductivity in the infinite-volume limit, then the variance of a finite-volume conductance grows at least like the volume.",

keywords = "Conductivity, Fluctuations, Random media, Variance bounds",

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AB - We study the conductance of random resistor networks in d≥2 dimensions. It is shown (under some technical assumptions) that if a network exhibits a non-zero conductivity in the infinite-volume limit, then the variance of a finite-volume conductance grows at least like the volume.

KW - Conductivity

KW - Fluctuations

KW - Random media

KW - Variance bounds

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ER -

A lower bound on the variance of conductance in random resistor networks

Abstract

Keywords

ASJC Scopus subject areas

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