TY - JOUR
T1 - Exact relations between critical exponents for elastic stiffness and electrical conductivity of percolating networks
AU - Bergman, David J.
N1 - Funding Information:
This research was supported, in part, by grants from the US-Israel Binational Science Foundation and the Israel Science Foundation.
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
UR - http://www.scopus.com/inward/record.url?scp=0242577070&partnerID=8YFLogxK
U2 - 10.1016/j.physb.2003.08.024
DO - 10.1016/j.physb.2003.08.024
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AN - SCOPUS:0242577070
SN - 0921-4526
VL - 338
SP - 240
EP - 246
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
IS - 1-4
T2 - Proceedings of the Sixth International Conference on Electrica (ETOPIM 6)
Y2 - 15 July 2002 through 19 July 2002
ER -