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


Reference:

Almond, D. P., Budd, C. J., Freitag, M. A., Hunt, G. W., McCullen, N. J. and Smith, N. D., 2013. The origin of power-law emergent scaling in large binary networks. Physica A: Statistical Mechanics and its Applications, 392 (4), pp. 1004-1027.

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Official URL:

http://dx.doi.org/10.1016/j.physa.2012.10.035

Abstract

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 the deviation of the proportion from the critical value of p=1/2. The results compare excellently with a large number of numerical simulations.

Details

Item Type Articles
CreatorsAlmond, D. P., Budd, C. J., Freitag, M. A., Hunt, G. W., McCullen, N. J. and Smith, N. D.
DOI10.1016/j.physa.2012.10.035
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
Faculty of Science > Mathematical Sciences
Faculty of Engineering & Design > Architecture & Civil Engineering
Faculty of Engineering & Design > Electronic & Electrical Engineering
Research CentresMaterials Research Centre
Centre for Space, Atmospheric and Oceanic Science
RefereedYes
StatusPublished
ID Code31817

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