### Abstract

_{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.

Language | English |
---|---|

Pages | 158-167 |

Number of pages | 10 |

Journal | Ferroelectrics |

Volume | 391 |

Issue number | 1 |

DOIs | |

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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**A study of random capacitor networks to assess the emergent properties of dielectric composites.** / Richardson, P; Almond, Darryl P; Bowen, Christopher R.

Research output: Contribution to journal › Article

*Ferroelectrics*, vol. 391, no. 1, pp. 158-167. DOI: 10.1080/00150190903004767

}

TY - JOUR

T1 - A study of random capacitor networks to assess the emergent properties of dielectric composites

AU - Richardson,P

AU - Almond,Darryl P

AU - Bowen,Christopher R

PY - 2009

Y1 - 2009

N2 - This paper examines whether emergent behaviour is observed in dielectric composites, i.e. mixtures of two phases with zero conductivity and of permittivity ϵ1 and ϵ2. 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.

AB - This paper examines whether emergent behaviour is observed in dielectric composites, i.e. mixtures of two phases with zero conductivity and of permittivity ϵ1 and ϵ2. 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.

UR - http://www.scopus.com/inward/record.url?scp=77955887975&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1080/00150190903004767

U2 - 10.1080/00150190903004767

DO - 10.1080/00150190903004767

M3 - Article

VL - 391

SP - 158

EP - 167

JO - Ferroelectrics

T2 - Ferroelectrics

JF - Ferroelectrics

SN - 0015-0193

IS - 1

ER -