Projects per year
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 powerlaw 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.
Original language  English 

Pages (fromto)  10041027 
Journal  Physica A: Statistical Mechanics and its Applications 
Volume  392 
Issue number  4 
Early online date  2 Nov 2012 
DOIs  
Publication status  Published  15 Feb 2013 
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Projects
 3 Finished

New Fibres for New Lasers
Knight, J., Birks, T. & Wadsworth, W.
Engineering and Physical Sciences Research Council
1/10/11 → 31/03/15
Project: Research council

Microstructural Silica Fibres for Surgical Applications
Engineering and Physical Sciences Research Council
1/06/09 → 31/05/12
Project: Research council

ESTABLISHMENT OF THE UNIVERSITY OF BATH CENTRE FOR COMPLEX S YSTEMS  O/HEAD SPLIT SM75% EN25%
Budd, C., Almond, D., Britton, N., Hunt, G., Hurn, M. & Smyshlyaev, V. P.
Engineering and Physical Sciences Research Council
29/11/04 → 28/11/09
Project: Research council