TY - JOUR
T1 - Series expansion for a weakly nonlinear conductivity of random composites
AU - Levy, Ohad
AU - Bergman, David J.
N1 - Funding Information:
This researchw as supportedi n part by a grant from the US-Israel al Science Foundation.
PY - 1992/12/15
Y1 - 1992/12/15
N2 - We discuss the nonlinear behavior of a simple cubic two-component random resistor network (RRN), in which the local current and voltage are related by I = gV+b|V|2V and b|V|2≪g. The macroscopic nonlinear conductivity bc is expanded as a power series in the relative difference between the ohmic conductivities of the components. The expansion is carried up to the third order. Graphs are used to aid in implementing the calculation. In the continuum case only the first term of the expansion can be calculated explicitly without detailed knowledge of the microgeometry.
AB - We discuss the nonlinear behavior of a simple cubic two-component random resistor network (RRN), in which the local current and voltage are related by I = gV+b|V|2V and b|V|2≪g. The macroscopic nonlinear conductivity bc is expanded as a power series in the relative difference between the ohmic conductivities of the components. The expansion is carried up to the third order. Graphs are used to aid in implementing the calculation. In the continuum case only the first term of the expansion can be calculated explicitly without detailed knowledge of the microgeometry.
UR - http://www.scopus.com/inward/record.url?scp=0642360108&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(92)90571-7
DO - 10.1016/0378-4371(92)90571-7
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AN - SCOPUS:0642360108
SN - 0378-4371
VL - 191
SP - 475
EP - 478
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -