Menger 海绵中的球体无规堆积。

Random packing of spheres in Menger sponge.

机构信息

M. Smoluchowski Institute of Physics, Jagiellonian University, 30-059 Kraków, Reymonta 4, Poland.

出版信息

J Chem Phys. 2013 Jun 7;138(21):214704. doi: 10.1063/1.4807835.

Abstract

Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit. Additionally, scaling properties of density autocorrelations in the obtained packing are analyzed. The RSA kinetics coefficients are also measured. Obtained results allow to test phenomenological relation between random packing saturation density and collector dimension. Additionally, performed simulations together with previously obtained results confirm that, in general, the known dimensional relations are obeyed by systems having non-integer dimension, at least for d < 3.

摘要

使用随机顺序吸附（RSA）算法对维度 2<d<3 的分形收集器内部的球体进行随机填充的数值研究。本文主要集中在测量随机填充的饱和极限。此外，还分析了所得填充密度自相关的标度性质。还测量了 RSA 动力学系数。获得的结果允许测试随机填充饱和密度与收集器维度之间的现象关系。此外，进行的模拟以及先前获得的结果证实，一般来说，对于至少 d<3 的非整数维度系统，已知的维度关系是遵守的。