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

  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},
  • D. Almond, C. Budd, +3 authors N. Smith
  • Published 25 April 2012
  • Physics, Mathematics
  • Physica A-statistical Mechanics and Its Applications
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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