### 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 |

State | Published - Mar 1997 |

### Fingerprint

### Keywords

- Conductivity
- Fluctuations
- Random media
- Variance bounds

### ASJC Scopus subject areas

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

### Cite this

*Journal of Statistical Physics*,

*86*(5-6), 1359-1365.

**A lower bound on the variance of conductance in random resistor networks.** / Wehr, Jan.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 86, no. 5-6, pp. 1359-1365.

}

TY - JOUR

T1 - A lower bound on the variance of conductance in random resistor networks

AU - Wehr, Jan

PY - 1997/3

Y1 - 1997/3

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=0031092574&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031092574&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031092574

VL - 86

SP - 1359

EP - 1365

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5-6

ER -