Isostaticity in two dimensional pile of rigid disks

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dc.creatorKasahara, Akihiro
dc.creatorNakanishi, Hiizu
dc.date2003-12-23
dc.date.accessioned2026-07-07T08:12:17Z
dc.date.available2026-07-07T08:12:17Z
dc.descriptionWe study the static structure of piles made of polydisperse disks in the rigid limit with and without friction using molecular dynamic simulations for various elasticities of the disks and pile preparation procedures. The coordination numbers are calculated to examine the isostaticity of the pile structure. For the frictionless pile, it is demonstrated that the coordination number converges to 4 in the rigid limit, which implies that the structure of rigid disk pile is isostatic. On the other hand, for the frictional case with the infinite friction constant, the coordination number depends on the preparation procedure of the pile, but we find that the structure becomes very close to isostatic with the coordination number close to 3 in the rigid limit when the pile is formed through the process that tends to make a pile of random configuration.
dc.description3 pages, 3 figures, Submitted to J. Phys. Soc. Jpn
dc.identifierhttps://arxiv.org/abs/cond-mat/0312598
dc.identifierhttp://arxiv.org/abs/cond-mat/0312598
dc.identifierJ. Phys. Soc. Jpn. 73 (2004) 789-791
dc.identifierdoi:10.1143/JPSJ.73.789
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132398
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleIsostaticity in two dimensional pile of rigid disks
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