Percolation of binary disk systems: Modeling and theory

Meeks, Kelsey; Tencer, John; Pantoya, Michelle L.

doi:10.1103/PhysRevE.95.012118

Title: Percolation of binary disk systems: Modeling and theory

Journal Article · 12 January 2017 · Physical Review E

DOI: https://doi.org/10.1103/PhysRevE.95.012118 · OSTI ID:1343061

Meeks, Kelsey ^[1]; Tencer, John ^[2]; Pantoya, Michelle L. ^[3]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Texas Tech Univ., Lubbock, TX (United States). Mechanical Engineering Dept.
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Texas Tech Univ., Lubbock, TX (United States). Mechanical Engineering Dept.

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 paper 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. Finally, 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.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); US Army Research Office (ARO)

Contributing Organization:: Texas Tech Univ., Lubbock, TX (United States)

Grant/Contract Number:: AC04-94AL85000; W911NF-11-1-0439

OSTI ID:: 1343061

Alternate ID(s):: OSTI ID: 1339186

Report Number(s):: SAND2016-6744J; 645220; TRN: US1700999

Journal Information:: Physical Review E, Vol. 95, Issue 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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