Abstract
Bruggeman’s Self-Consistent Effective Medium Approximation for the linear conductivity of a composite medium is reformulated in a manner such that the averaging procedure that must be used becomes unambiguous. The new formulation can be applied equally unambiguously to nonlinear conductivity in a composite medium. It is used to construct a Bruggeman-type approximation for a strong, power law nonlinear conductivity, and the scaling form of this approximation in the vicinity of a percolation threshold is found. It is also used to construct such an approximation for the small power-law-nonlinearity correction term in a composite conductor whose leading behavior is linear. In this case the Bruggeman-type approximation becomes useless long before the percolation threshold is reached. The reasons for this are discussed.
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© 1991 Birkhäuser Boston
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Bergman, D.J. (1991). Effective Medium Approximation for Nonlinear Conductivity of a Composite Medium. In: Dal Maso, G., Dell’Antonio, G.F. (eds) Composite Media and Homogenization Theory. Progress in Nonlinear Differential Equations and Their Applications, vol 5. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6787-1_5
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DOI: https://doi.org/10.1007/978-1-4684-6787-1_5
Publisher Name: Birkhäuser Boston
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Online ISBN: 978-1-4684-6787-1
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