A comparative study and an extended theory of percolation for random packings of rigid spheres

A new method for the prediction of coordination numbers in random packings of rigid spherical particles is presented, consisting of improvements of basic relationships of percolation theory for the determination of numbers of contacts, percolation thresholds and probability of connection in binary mixtures and their extension to multicomponent and polydisperse mixtures. The proposed model is critically compared with previous percolation theories, showing a satisfactory agreement with experimental data and computer simulations of random packings over a wide range of particle sizes and compositions for both binary and multicomponent/polydisperse mixtures.

A new method for the prediction of coordination numbers in random mixtures of rigid spherical particles is presented. It consists in improvements of basic relationships of percolation theory. The agreement of the new model with simulations is good in all the range of ratio of radii and compositions and better than previous theories.Figure optionsDownload as PowerPoint slideHighlights
► Method for prediction of coordination numbers in random packings of rigid spheres.
► Improved relationships for contact numbers and connection probability.
► Agreement with simulated data in binary, multicomponent and polydisperse mixtures.
► Critical comparison with previous percolation theories in binary mixtures.
► Valuable tool for the estimation of properties of random mixtures of rigid spheres.