Random packing of regular polygons and star polygons on a flat two-dimensional surface

被引：32

作者：

Ciesla, Michal ^{[1
]}

Barbasz, Jakub ^{[2
]}

机构：

[1] Jagiellonian Univ, Marian Smoluchowski Inst Phys, PL-30059 Krakow, Poland

[2] Polish Acad Sci, Inst Catalysis & Surface Chem, PL-30239 Krakow, Poland

来源：

PHYSICAL REVIEW E | 2014年 / 90卷 / 02期

关键词：

RANDOM SEQUENTIAL ADSORPTION; ANISOTROPIC PARTICLES; NUMBER; LIMIT;

D O I：

10.1103/PhysRevE.90.022402

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Random packing of unoriented regular polygons and star polygons on a two-dimensional flat continuous surface is studied numerically using random sequential adsorption algorithm. Obtained results are analyzed to determine the saturated random packing ratio as well as its density autocorrelation function. Additionally, the kinetics of packing growth and available surface function are measured. In general, stars give lower packing ratios than polygons, but when the number of vertexes is large enough, both shapes approach disks and, therefore, properties of their packing reproduce already known results for disks.

引用

页数：6

共 50 条

[41] The Coordination Number of Equal Disks in Two-dimensional Random Packing
董麒
叶大年
ChineseScienceBulletin, 1993, (21) : 1793 - 1797
[42] Reversibly visible polygons and polygonal approximation in two dimensional space
Rao, S
Harada, K
COMPUTER GRAPHICS INTERNATIONAL, PROCEEDINGS, 1997, : 74 - 83
[43] An analytical process for unfolding of lateral surface in solids of circular bases or regular polygons
Kripka, R.M.L.
Oro, N.T.
Maziero, N.L.
1600, University Federal de Uberlandia (10):
[44] The Gluing of a Surface of Genus g from Two and Three Polygons
Pastor A.V.
Journal of Mathematical Sciences, 2015, 204 (2) : 258 - 270
[45] Monte Carlo results for projected self-avoiding polygons: a two-dimensional model for knotted polymers
Guitter, E
Orlandini, E
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (08): : 1359 - 1385
[46] Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings
Struyve, Koen
Van Maldeghem, Hendrik
ADVANCES IN GEOMETRY, 2010, 10 (03) : 465 - 476
[47] Two-Dimensional Affine R-Buildings Defined by Generalized Polygons with Non-Discrete Valuation
Struyve, Koen
Van Maldeghem, Hendrik
PURE AND APPLIED MATHEMATICS QUARTERLY, 2011, 7 (03) : 923 - 967
[48] Two-dimensional percolation and cluster structure of the random packing of binary disks
He, D
Ekere, NN
Cai, L
PHYSICAL REVIEW E, 2002, 65 (06) : 1 - 061304
[49] The maximum entropy algorithm applied to the two-dimensional random packing problem
Daniell, GJ
MAXIMUM ENTROPY AND BAYESIAN METHODS - PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL WORKSHOP ON MAXIMUM ENTROPY AND BAYESIAN METHODS, CAMBRIDGE, ENGLAND, 1994, 1996, 70 : 233 - 238
[50] Regular Two-Dimensional Packing of Congruent Objects: Cognitive Analysis of Honeycomb Constructions
Klevanskiy, Nikolay N.
Tkachev, Sergey I.
Voloshchuk, Ludmila A.
Nourgaziev, Rouslan B.
Mavzovin, Vladimir S.
APPLIED SCIENCES-BASEL, 2021, 11 (11):

← 1 2 3 4 5 →