Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks

David J. Bergman

doi:10.1016/j.physb.2003.08.024

Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks

David J. Bergman^*

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks are studied. In case of a random mixture of normal elastic and totally rigid bonds, the corresponding conducting network will be a mixture of normal conducting bonds and perfectly conducting bonds. For any bonds adjoining such a z-parallel bond at a given site, the angular degree of freedom will be rotation in unison around that z-parallel bond.

Original language	English
Pages (from-to)	240-246
Number of pages	7
Journal	Physica B: Condensed Matter
Volume	338
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physb.2003.08.024
State	Published - Oct 2003
Event	Proceedings of the Sixth International Conference on Electrica (ETOPIM 6) - Snowbird, UT, United States Duration: 15 Jul 2002 → 19 Jul 2002

Funding

Funders	Funder number
US-Israel Binational Science Foundation
Israel Science Foundation

Keywords

Composite media
Elastic percolation
Exact relations

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10.1016/j.physb.2003.08.024

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title = "Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks",

abstract = "The exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks are studied. In case of a random mixture of normal elastic and totally rigid bonds, the corresponding conducting network will be a mixture of normal conducting bonds and perfectly conducting bonds. For any bonds adjoining such a z-parallel bond at a given site, the angular degree of freedom will be rotation in unison around that z-parallel bond.",

keywords = "Composite media, Elastic percolation, Exact relations",

author = "Bergman, {David J.}",

note = "Funding Information: This research was supported, in part, by grants from the US-Israel Binational Science Foundation and the Israel Science Foundation. ; Proceedings of the Sixth International Conference on Electrica (ETOPIM 6) ; Conference date: 15-07-2002 Through 19-07-2002",

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PY - 2003/10

Y1 - 2003/10

N2 - The exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks are studied. In case of a random mixture of normal elastic and totally rigid bonds, the corresponding conducting network will be a mixture of normal conducting bonds and perfectly conducting bonds. For any bonds adjoining such a z-parallel bond at a given site, the angular degree of freedom will be rotation in unison around that z-parallel bond.

AB - The exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks are studied. In case of a random mixture of normal elastic and totally rigid bonds, the corresponding conducting network will be a mixture of normal conducting bonds and perfectly conducting bonds. For any bonds adjoining such a z-parallel bond at a given site, the angular degree of freedom will be rotation in unison around that z-parallel bond.

KW - Composite media

KW - Elastic percolation

KW - Exact relations

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JO - Physica B: Condensed Matter

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T2 - Proceedings of the Sixth International Conference on Electrica (ETOPIM 6)

Y2 - 15 July 2002 through 19 July 2002

ER -

Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks

Abstract

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Keywords

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