Surface fraction of random close packing in two dimensions calculated exactly
N.Olivi-Tran
TL;DR
This paper provides an exact calculation of the random close packing fraction for monodisperse disks in two dimensions using probabilistic methods like the central limit theorem and Brownian motion.
Contribution
It introduces an exact analytical approach to determine the random close packing fraction in 2D, advancing beyond approximate or numerical methods.
Findings
Exact value of 2D random close packing fraction derived
Application of central limit theorem and Brownian motion in packing analysis
Provides a theoretical foundation for 2D packing density calculations
Abstract
The random close packing fraction in two dimensions is calculated exactly via the central limit theorem and the brownian motion with no gain between monodisperse disks.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Material Dynamics and Properties · Theoretical and Computational Physics