Электронный каталог

Статья

Cherny, A.Yu.
Dense Random Packing with a Power-Law Size Distribution: The Structure Factor, Mass-Radius Relation, and Pair Distribution Function / A.Yu.Cherny, E.M.Anitas, V.A.Osipov // The Journal of Chemical Physics [Electronic resource]. – 2023. – Vol.158, No.4. – P.044114. – URL: https://doi.org/10.1063/5.0134813. – Bibliogr.:29.

We consider a dense random packing of disks with a power-law distribution of radii and investigate their correlation properties. We study the corresponding structure factor, mass–radius relation, and pair distribution function of the disk centers. A toy model of dense segments in one dimension (1D) is solved exactly. It is shown theoretically in 1D and numerically in 1D and 2D that such a packing exhibits fractal properties. It is found that the exponent of the power-law distribution and the fractal dimension coincide. An approximate relation for the structure factor in arbitrary dimensions is derived, which can be used as a fitting formula in small-angle scattering. These findings can be useful for understanding the microstructural properties of various systems such as ultra-high performance concrete, high-internal-phase-ratio emulsions, or biological systems.



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 325.4 - Нелинейные системы. Хаос и синергетика. Фракталы$
Бюллетени = 1/023