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

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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 languageEnglish
Pages (from-to)240-246
Number of pages7
JournalPhysica B: Condensed Matter
Volume338
Issue number1-4
DOIs
StatePublished - Oct 2003
EventProceedings of the Sixth International Conference on Electrica (ETOPIM 6) - Snowbird, UT, United States
Duration: 15 Jul 200219 Jul 2002

Keywords

  • Composite media
  • Elastic percolation
  • Exact relations

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