### Abstract

This paper examines whether emergent behaviour is observed in dielectric composites, i.e. mixtures of two phases with zero conductivity and of permittivity ϵ

_{1}and ϵ_{2}. The model developed enabled the study of random capacitor networks which contain capacitors of two different magnitudes (C1 and C2), which represent the two individual dielectric phases of a composite. The effective capacitance of the network was examined as a function of the individual capacitor magnitudes and their volume fraction. The capacitor networks exhibit an emergent region where there is low variability between individual random networks of a particular composition. The logarithm of the network capacitance scaled linearly with the logarithm of the capacitance ratio (C1 and C2), indicating that under particular conditions a logarithmic mixing rule can be used to determine the properties of dielectric mixtures.Original language | English |
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Pages (from-to) | 158-167 |

Number of pages | 10 |

Journal | Ferroelectrics |

Volume | 391 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2009 |

Event | 9th European Conference on Applications of Polar Dielectrics, ECAPD-9, August 25, 2008 - August 29, 2008 - Rome, Italy Duration: 1 Jan 2009 → … |

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## Cite this

Richardson, P., Almond, D. P., & Bowen, C. R. (2009). A study of random capacitor networks to assess the emergent properties of dielectric composites.

*Ferroelectrics*,*391*(1), 158-167. https://doi.org/10.1080/00150190903004767