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Percolation of binary disk systems: Modeling and theory
Kelsey Meeks1,2, John Tencer1, Michelle L Pantoya2
1Sandia National Laboratories, Albuquerque, New Mexico 87123, USA.
This study uses Monte Carlo simulations to predict percolation thresholds in two-dimensional systems with disks of two different sizes. A new correlation is proposed for binary disk systems, improving predictions for higher polydispersity.
Area of Science:
- Physics
- Materials Science
- Statistical Mechanics
Background:
- Particle dispersion and connectivity in polydisperse systems are crucial for composite materials and reaction kinetics.
- Previous models have limitations in addressing high degrees of polydispersity.
Purpose of the Study:
- To predict percolation thresholds in 2D systems with binary disk sizes.
- To extend existing models to higher polydispersity.
- To propose a new correlation for binary disk percolation.
Main Methods:
- Monte Carlo simulations were employed.
- Spanning probability was used to analyze connectivity.
- Simulations were performed on 2D systems with disks of two distinct radii.
Main Results:
- Percolation thresholds were predicted for systems with higher polydispersity than previously studied.
- A novel correlation for binary disk systems was developed and validated against existing data.
- Optimal boundary conditions for accurate modeling were identified.
Conclusions:
- The proposed correlation accurately predicts percolation thresholds for binary disk systems.
- The study provides insights into maximizing percolation thresholds in such systems.
- This work advances the understanding of particle connectivity in polydisperse materials.
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