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3rd International Symposium on Voronoi Diagrams in Science and Engineering (ISVD'06)
Critical densities in hard sphere packings. Delaunay simplex analysis.
Banff Center, Calgary, Alberta, Canada
July 02-July 05
ISBN: 0-7695-2630-6
| ASCII Text | x | ||
| A.V. Anikeenko, N.N. Medvedev, A. Elsner, K. Lochmann, D. Stoyan, "Critical densities in hard sphere packings. Delaunay simplex analysis.," 2010 International Symposium on Voronoi Diagrams in Science and Engineering, pp. 153-158, 3rd International Symposium on Voronoi Diagrams in Science and Engineering (ISVD'06), 2006. | |||
| BibTex | x | ||
| @article{ 10.1109/ISVD.2006.17, author = {A.V. Anikeenko and N.N. Medvedev and A. Elsner and K. Lochmann and D. Stoyan}, title = {Critical densities in hard sphere packings. Delaunay simplex analysis.}, journal ={2010 International Symposium on Voronoi Diagrams in Science and Engineering}, volume = {0}, year = {2006}, isbn = {0-7695-2630-6}, pages = {153-158}, doi = {http://doi.ieeecomputersociety.org/10.1109/ISVD.2006.17}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - CONF JO - 2010 International Symposium on Voronoi Diagrams in Science and Engineering TI - Critical densities in hard sphere packings. Delaunay simplex analysis. SN - 0-7695-2630-6 SP153 EP158 A1 - A.V. Anikeenko, A1 - N.N. Medvedev, A1 - A. Elsner, A1 - K. Lochmann, A1 - D. Stoyan, PY - 2006 KW - null VL - 0 JA - 2010 International Symposium on Voronoi Diagrams in Science and Engineering ER - | |||
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISVD.2006.17
A large set of computer models (more then 200 models) of hard sphere packings with packing fraction n between 0.52 - 0.72 is examined. Every packing consist of 10.000 identical spheres in the model box with periodic boundary conditions. Delaunay simplexes (quadruples of mutually closest spheres) with shape resembling to perfect tetrahedron or quartoctahedron are studied. Fraction of such simplexes is studied as a function of packing density. Structure changes at the transition from disordered to crystalline phase are discussed. A limited packing fraction of the non-crystalline packing is estimated as 0.6455?0.0015. The ratio of tetrahedral to quartoctahedral simplexes (T/Q) in the packing at this density provided to be close to 2/3. We pay attention to one more critical interval of density at around n=0.665 ?0.005. At this density the crystalline nuclei which were in the packing run into unified crystal and the ratio T/Q reaches a crystalline value 1/2.
Citation:
A.V. Anikeenko, N.N. Medvedev, A. Elsner, K. Lochmann, D. Stoyan, "Critical densities in hard sphere packings. Delaunay simplex analysis.," isvd, pp.153-158, 3rd International Symposium on Voronoi Diagrams in Science and Engineering (ISVD'06), 2006
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