Scaling Properties of the Number of Random Sequential Adsorption Iterations Needed to Generate Saturated Random Packing

被引：16
|
作者：
Ciesla, Michal [1 ]
机构：
[1] Jagiellonian Univ, M Smoluchowski Inst Phys, Lojasiewicza 11, PL-30348 Krakow, Poland
来源：
JOURNAL OF STATISTICAL PHYSICS | 2017年 / 166卷 / 01期
关键词：
Random sequential adsorption; Saturated random packings; Spheres packings; Multidimensional packings;
D O I：
10.1007/s10955-016-1673-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The properties of the number of iterations in random sequential adsorption protocol needed to generate finite saturated random packing of spherically symmetric shapes were studied. Numerical results obtained for one, two, and three dimensional packings were supported by analytical calculations valid for any dimension d. It has been shown that the number of iterations needed to generate finite saturated packing is subject to Pareto distribution with exponent and the median of this distribution scales with packing size according to the power-law characterized by exponent d. Obtained results can be used in designing effective random sequential adsorption simulations.
引用
收藏
页码：39 / 44
页数：6
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