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

  title={The origin of power-law emergent scaling in large binary networks},
  author={D. Almond and C. Budd and M. Freitag and G. W. Hunt and N. J. McCullen and N. Smith},
  journal={Physica A-statistical Mechanics and Its Applications},
  • D. Almond, C. Budd, +3 authors N. Smith
  • Published 2013
  • Mathematics, Physics
  • 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… CONTINUE READING
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