Research Paper#Physics, Computational Physics, Statistical Mechanics🔬 ResearchAnalyzed: Jan 3, 2026 18:35
Predicting Random Close Packing of Binary Hard-Disk Mixtures
Published:Dec 29, 2025 17:17
•1 min read
•ArXiv
Analysis
This paper introduces a novel method for predicting the random close packing (RCP) fraction in binary hard-disk mixtures. The significance lies in its simplicity, accuracy, and universality. By leveraging a parameter derived from the third virial coefficient, the model provides a more consistent and accurate prediction compared to existing models. The ability to extend the method to polydisperse mixtures further enhances its practical value and broadens its applicability to various hard-disk systems.
Key Takeaways
- •Proposes a new method for predicting the random close packing fraction in binary hard-disk mixtures.
- •Uses a parameter based on the reduced third virial coefficient.
- •Offers more accurate and consistent predictions than previous models.
- •Applicable to polydisperse mixtures with continuous size distributions.
- •Provides a robust framework for understanding the universality of RCP in hard-disk systems.
Reference
“The RCP fraction depends nearly linearly on this parameter, leading to a universal collapse of simulation data.”