Abstract
A model is developed for anisotropies in the conductivity in monodisperse systems of uniaxially aligned cylindrical fibers. Concepts from percolation theory (specifically, a lattice approach toward describing percolation by rods with large aspect ratios) are unified with a simple picture based upon resistors combined in series and parallel to calculate the conductivities in fiber-based nanocomposites in directions that are longitudinal and transverse with respect to the axis of particle alignment. Results obtained for three different orientational distribution functions (ODFs) reveal a peak in the dependence of the longitudinal conductivity upon mean orientational order parameter ($\ensuremath{\langle}S\ensuremath{\rangle}$), qualitatively similar to findings that have been reported from computer simulations. In contrast, the transverse conductivity decreases monotonically with increasing values of $\ensuremath{\langle}S\ensuremath{\rangle}$ for each of the ODFs investigated.
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