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Title: Percolation of binary disk systems: Modeling and theory

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Texas Tech Univ., Lubbock, TX (United States). Mechanical Engineering Dept.
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  3. Texas Tech Univ., Lubbock, TX (United States). Mechanical Engineering Dept.
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); US Army Research Office (ARO)
Contributing Org.:
Texas Tech Univ., Lubbock, TX (United States)
OSTI Identifier:
1343061
Alternate Identifier(s):
OSTI ID: 1339186
Report Number(s):
SAND2016-6744J
Journal ID: ISSN 2470-0045; 645220; TRN: US1700999
Grant/Contract Number:  
AC04-94AL85000; W911NF-11-1-0439
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 95; Journal Issue: 1; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Meeks, Kelsey, Tencer, John, and Pantoya, Michelle L. Percolation of binary disk systems: Modeling and theory. United States: N. p., 2017. Web. doi:10.1103/PhysRevE.95.012118.
Meeks, Kelsey, Tencer, John, & Pantoya, Michelle L. Percolation of binary disk systems: Modeling and theory. United States. doi:10.1103/PhysRevE.95.012118.
Meeks, Kelsey, Tencer, John, and Pantoya, Michelle L. Thu . "Percolation of binary disk systems: Modeling and theory". United States. doi:10.1103/PhysRevE.95.012118. https://www.osti.gov/servlets/purl/1343061.
@article{osti_1343061,
title = {Percolation of binary disk systems: Modeling and theory},
author = {Meeks, Kelsey and Tencer, John and Pantoya, Michelle L.},
abstractNote = {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.},
doi = {10.1103/PhysRevE.95.012118},
journal = {Physical Review E},
number = 1,
volume = 95,
place = {United States},
year = {Thu Jan 12 00:00:00 EST 2017},
month = {Thu Jan 12 00:00:00 EST 2017}
}

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Free Publicly Available Full Text
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Works referenced in this record:

Excluded volume and its relation to the onset of percolation
journal, October 1984

  • Balberg, I.; Anderson, C. H.; Alexander, S.
  • Physical Review B, Vol. 30, Issue 7, p. 3933-3943
  • DOI: 10.1103/PhysRevB.30.3933