A study of random capacitor networks to assess the emergent properties of dielectric composites
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This paper examines whether emergent behaviour is observed in dielectric composites, i.e. mixtures of two phases with zero conductivity and of permittivity 1 and 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.
|Creators||Richardson, P., Almond, D. P. and Bowen, C. R.|
|Departments||Faculty of Engineering & Design > Mechanical Engineering|
|Additional Information||9th European Conference on Applications of Polar Dielectrics, ECAPD-9. 25-29 August 25 2008. Rome, Italy.|
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