Random packing of disks in two dimensions

作者: Einar L. Hinrichsen , Jens Feder , Torstein Jøssang

DOI: 10.1103/PHYSREVA.41.4199

关键词:

摘要: The geometry of a random dense packing disks equal size obtained by compacting sequential adsorption configuration is discussed. shown to be without any long-ranged order, and no local configurations ordered domains were found. fraction area covered \ensuremath{\theta}=0.772\ifmmode\pm\else\textpm\fi{}0.002, the number contacts per disk are 3.02\ifmmode\pm\else\textpm\fi{}0.03. It argued that this stable close loose-packed limit in two dimensions. compacted prediction we make \ensuremath{\theta}=0.78 for configuration. Several statistical distributions calculated from limiting studied. Both circumference Voronoi-Dirichlet polygons could fitted \ensuremath{\Gamma} distribution functions.

参考文章(48)
The Bakerian Lecture, 1962. The Structure of Liquids Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 280, pp. 299- 322 ,(1964) , 10.1098/RSPA.1964.0147
G.S. Cargill, Structure of Metallic Alloy Glasses Journal of Physics C: Solid State Physics. ,vol. 30, pp. 227- 320 ,(1975) , 10.1016/S0081-1947(08)60337-9
J. L. Finney, Modelling the structures of amorphous metals and alloys Nature. ,vol. 266, pp. 309- 314 ,(1977) , 10.1038/266309A0
Biman Bagchi, Charles Cerjan, Stuart A. Rice, Theoretical analysis of the achievement of random close packing of hard spheres and a conjecture on spinodal decomposition Physical Review B. ,vol. 28, pp. 6411- 6415 ,(1983) , 10.1103/PHYSREVB.28.6411
Richard Zallen, The Physics of Amorphous Solids: ZALLEN:PHYSICS OF AMORPHO O-BK Wiley-VCH Verlag GmbH & Co. KGaA. ,(2005) , 10.1002/3527602798
Random packings and the structure of simple liquids. I. The geometry of random close packing Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 319, pp. 479- 493 ,(1970) , 10.1098/RSPA.1970.0189
Random Packings and the Structure of Simple Liquids. II. The Molecular Geometry of Simple Liquids Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 319, pp. 495- 507 ,(1970) , 10.1098/RSPA.1970.0190
Charles H. Bennett, Serially Deposited Amorphous Aggregates of Hard Spheres Journal of Applied Physics. ,vol. 43, pp. 2727- 2734 ,(1972) , 10.1063/1.1661585