Percolation of binary disk systems: Modeling and theory

Kelsey Meeks, John Tencer, Michelle L. Pantoya

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The dispersion and connectivity of particles with a high degree of polydispersity is relevant to problems involving composite material properties and reaction decomposition prediction and has been the subject of much study in the literature. This work utilizes Monte Carlo models to predict percolation thresholds for a two-dimensional systems containing disks of two different radii. Monte Carlo simulations and spanning probability are used to extend prior models into regions of higher polydispersity than those previously considered. A correlation to predict the percolation threshold for binary disk systems is proposed based on the extended dataset presented in this work and compared to previously published correlations. A set of boundary conditions necessary for a good fit is presented, and a condition for maximizing percolation threshold for binary disk systems is suggested.

Original languageEnglish
Article number012118
JournalPhysical Review E
Issue number1
StatePublished - Jan 12 2017


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