A heuristic approach for the densest packing fraction of hard-sphere mixtures

Andrés Santos and Mariano López de Haro

Physica A: Statistical Mechanics and its Applications, 2023, vol. 612, issue C

Abstract: In a previous work, a simple approach to derive the jamming packing fraction of a hard-sphere mixture from the knowledge of the random close-packing fraction of the monocomponent system was proposed. Now, an extension of that approach is applied to provide an approximate formula for the densest packing fraction of a given hard-sphere mixture in terms of the fcc close-packing fraction of a monocomponent hard-sphere system and of a single parameter encapsulating the dependence on the size ratios and the number of spheres in the unit cell. Comparison with recent results for such densest packing fraction of binary and ternary systems is performed and reasonable agreement is obtained.

Keywords: Hard spheres; Multicomponent systems; Surplus approximation; Jamming packing fraction; Densest binary and ternary sphere packings (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:612:y:2023:i:c:s0378437123000407

DOI: 10.1016/j.physa.2023.128485

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