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 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.

Original language | English |
---|---|

Pages (from-to) | 1004-1027 |

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 |

## Fingerprint Dive into the research topics of 'The origin of power-law emergent scaling in large binary networks'. Together they form a unique fingerprint.

## 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

## Cite this

Almond, D. P., Budd, C. J., Freitag, M. A., Hunt, G. W., McCullen, N. J., & Smith, N. D. (2013). The origin of power-law emergent scaling in large binary networks.

*Physica A: Statistical Mechanics and its Applications*,*392*(4), 1004-1027. https://doi.org/10.1016/j.physa.2012.10.035