# The origin of power-law emergent scaling in large binary networks

@article{Almond2013TheOO, title={The origin of power-law emergent scaling in large binary networks}, author={Darryl P. Almond and Chris J. Budd and Melina A. Freitag and G. W. Hunt and Nicholas J. McCullen and N. D. Smith}, journal={Physica A-statistical Mechanics and Its Applications}, year={2013}, volume={392}, pages={1004-1027} }

We study the macroscopic conduction properties of large but finite binary networks with conducting bonds. By taking a combination of a spectral and an averaging based approach we derive asymptotic formulae for the conduction in terms of the component proportions p and the total number of components N. These formulae correctly identify both the percolation limits and also the emergent power-law behaviour between the percolation limits and show the interplay between the size of the network and…

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