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While classical percolation is well understood, percolation effects inrandomly packed or jammed structures are much less explored. Here weinvestigate both experimentally and theoretically the electrical percolation ina binary composite system of disordered spherocylinders, to identify therelation between structural (percolation) and functional properties ofnanocomposites. Experimentally, we determine the percolation threshold $p_c$and the conductivity critical exponent $t$ for composites of conducting(CrO$_2$) and insulating (Cr$_2$O$_3$) rodlike nanoparticles that are nominallygeometrically identical, yielding $p_c=0.305 \pm 0.026$ and $t=2.52 \pm 0.03$respectively. Simulations and modeling are implemented through a combination ofthe mechanical contraction method and a variant of random walk (de Gennes ant)approach, in which charge diffusion is correlated with the system conductivityvia the Nernst-Einstein relation. The percolation threshold and criticalexponents identified through finite size scaling are in good agreement with theexperimental values. Curiously, the calculated percolation threshold forspherocylinders with an aspect ratio of 6.5, $p_c=0.312 \pm 0.002$, is veryclose (within numerical errors) to the one found previously in two otherdistinct systems of disordered jammed spheres and simple cubic lattice, anintriguing and surprising result.

Percolation in metal-insulator composites of randomly packed spherocylindrical nanoparticles