首页 | 本学科首页   官方微博 | 高级检索  
     检索      


The origin of power-law emergent scaling in large binary networks
Authors:DP Almond  CJ BuddMA Freitag  GW HuntNJ McCullen  ND Smith
Institution:Center for Nonlinear Mechanics, University of Bath, BA2 7AY, UK
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 pp and the total number of components NN. 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=1/2p=1/2. The results compare excellently with a large number of numerical simulations.
Keywords:Emergent scaling  Complex systems  Binary networks  Composite materials  Effective medium approximation  Dielectric response  Generalised eigenvalue spectrum
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号