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The combined processes of anodization and electrodeposition lead to highlyordered arrays of cylindrical nanowires. This template-based self-assemblyfabrication method yields nanowires embedded in alumina. Commonly, chemicaletching is used to remove the alumina and free the nanowires. However, it hasbeen experimentally observed during the etching process that the nanowires tendto form clumps. In this work, the nanowires are modeled as elastic rods subjectto surface interaction forces. The dynamics of the model give rise to theaforementioned clumping behavior which is studied via percolation theory. Thiswork finds that percolation takes place with probability $P \sim (t-t_c)^x$,where the exponent $x = 2.8$ and $t_c$ is the time at which percolation takesplace. The critical exponents which entirely determine the system are found tobe for (dimension) $d = 2$, $\beta = 2.1, \gamma = 0.57, \Delta = 2.7, \alpha =-2.8, \nu = 2.4,$ and $\delta = 1.3$.

A Model for Conductive Percolation in Ordered Nanowire Arrays