Isostaticity in two dimensional pile of rigid disks

• Main Authors: Kasahara, Akihiro, Nakanishi, Hiizu
• Format: Journal Article
• Language: English
• Published: 22-12-2003
• Subjects: Physics - Soft Condensed Matter; Physics - Statistical Mechanics
• DOI: 10.48550/arxiv.cond-mat/0312598

J. Phys. Soc. Jpn. 73 (2004) 789-791 We 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.