Maxwell approximation for conductivity
= Maxwell approximation for conductivity
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{title2=$a^*=a_0(1+2pk)/(1-pk),\quad k=(a_1-a_0)/(a_1+2a_0)$}
= Maxwell conductivity approximation
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{synonym}
Matching the far dipole of a spherical composite with the sum of isolated spherical-inclusion dipoles gives this approximation. Its dilute expansion is $a_0+p\beta+p^2\beta^2/(3a_0)+O(p^3)$. The rational expression is a useful closure, not the exact conductivity of every spherical-inclusion microstructure.