TY - JOUR
T1 - Series expansion for the macroscopic conductivity of a random resistor network
AU - Bergman, D. J.
AU - Kantor, Y.
PY - 1981
Y1 - 1981
N2 - The macroscopic conductivity sigma e of a simple cubic, two-component, random resistor network is systematically expanded as a power series in the relative difference between the two basic conductances. Graphs are developed to aid in implementing the calculation. A single-bond T-matrix-type rearrangement of the series leads to various types of single-bond approximations, and to an improved graph expansion for sigma e. The improved expansion is worked out up to seventh order, and used to discuss the singular properties of sigma e.
AB - The macroscopic conductivity sigma e of a simple cubic, two-component, random resistor network is systematically expanded as a power series in the relative difference between the two basic conductances. Graphs are developed to aid in implementing the calculation. A single-bond T-matrix-type rearrangement of the series leads to various types of single-bond approximations, and to an improved graph expansion for sigma e. The improved expansion is worked out up to seventh order, and used to discuss the singular properties of sigma e.
UR - http://www.scopus.com/inward/record.url?scp=0040642465&partnerID=8YFLogxK
U2 - 10.1088/0022-3719/14/23/014
DO - 10.1088/0022-3719/14/23/014
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AN - SCOPUS:0040642465
SN - 0022-3719
VL - 14
SP - 3365
EP - 3382
JO - Journal of Physics C: Solid State Physics
JF - Journal of Physics C: Solid State Physics
IS - 23
M1 - 014
ER -